RD SHARMA Solutions for Class 12-science Maths Chapter 28 - Straight line in space

Your CBSE Class 12 syllabus for Maths consists of topics such as linear programming, vector quantities, determinants, etc. which lay the foundation for further education in science, engineering, management, etc. Studying differential equations will be useful for exploring subjects such as Physics, Biology, Chemistry, etc. where your knowledge can be applied for scientific investigations.

On TopperLearning, you can find study resources such as sample papers, mock tests, Class 12 Maths NCERT solutions and more. These learning materials can help you understand concepts such as differentiation of functions, direction cosines, integrals, and more. Also, you can practise the Maths problems by going through the solutions given by our experts.

Maths is considered as one of the most difficult subjects in CBSE Class 12 Science. Our Maths experts simplify complex Maths problems by assisting you with the right methods to solve problems and score full marks. You may still have doubts while referring to the Maths revision notes or Maths NCERT solutions. Solve those doubts by asking an expert through the “Undoubt” feature on the student dashboard.

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Chapter 28 - Straight line in space Exercise Ex. 28.1

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Find the vector equation of the line passing through the points (-1, 0, 2) and (3, 4, 6).

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 16

.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.2

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Show that the line through the points (1, -1, 2) and (3, 4, -2) is perpendicular to the line through points (0, 3, 2) and (3, 5, 6).

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Show that the line through the points (4, 7, 8) and (2, 3, 4) is parallel to the line through the points (-1, -2, 1) and (1, 2, 5).

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 6

Show that the line joining the origin to the point (2, 1, 1) is perpendicular to the line determined by the points (3, 5, -1) and (4, 3, -1).

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Find the equation of a line parallel to x-axis and passing through the origin.

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

find the angle between the following pairs of line :

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 20

find the angle between the pairs of lines with directions ratios proposal to a, b, c and b - c, c - a, a - b.

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 26

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 27

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 28

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 29

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 30

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 31

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 32

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 33

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 34

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.3

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise Ex. 28.4

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space.

.
Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 14

Find the coordinates of the foot of perpendicular drawn from the point A (1, 8, 4) to the line joining the points B (0, -1, 3) and C (2, -3, -1).

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Chapter 28 - Straight line in space Exercise Ex. 28.5

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In SpaceRd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space
Question 21

Find the shortest distance between the lines

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 21

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 22

Find the shortest distance between the lines


Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 22

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 23

Find the shortest distance between the lines

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 23

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 24

Find the shortest distance between the lines

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 24

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 25

Find the distance between the lines l1 and l2 given by

 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 25

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Chapter 28 - Straight line in space Exercise Ex. 28VSAQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 8

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 15

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space2013-12-24

Solution 16

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 17

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 18

.Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 18

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 19

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Question 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 20

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Chapter 28 - Straight line in space Exercise MCQ

Question 1

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 45°
  2. 30°
  3. 60°
  4. 90°
Solution 1

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 2

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. coincident
  2. skew
  3. intersecting
  4. parallel
Solution 2

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 3

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 4, 5, 7
  2. 4, -5, 7
  3. 4, -5, -7
  4. -4, 5, 7
Solution 3

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 4

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

Solution 4

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 5

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 5

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 6

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. 7
  2. 5
  3. 0
  4. none of these
Solution 6

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

 

Question 7

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 7

Correct option: (c)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 8

If a line makes angles α, β and γ with the axes respectively, then cos 2 α + cos 2 β + cos 2 γ =

  1. -2
  2. -1
  3. 1
  4. 2
Solution 8

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

 

NOTE: Answer not matching with back answer.

Question 9

If the direction ratios of a line are proportional to 1, -3, 2, then its direction cosines are

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 9

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 10

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 10

Correct option: (b)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 11

The projections of a line segment on X, Y and Z axes are 12, 4 and 3 respectively. The length and direction cosines of the line segment are

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 11

Correct option: (a)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 12

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. parallel
  2. intersecting
  3. skew
  4. coincident
Solution 12

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

NOTE: Answer not matching with back answer. 

Question 13

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

  1. parallel to x-axis
  2. parallel to y-axis
  3. parallel to z-axis
  4. perpendicular to z-axis
Solution 13

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Question 14

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space

Solution 14

Correct option: (d)

Rd-sharma Solutions Cbse Class 12-science Mathematics Chapter - Straight Line In Space 

Why CBSE Class 12 Science Maths solutions are important?

Maths is a subject which requires practising a variety of problems to understand concepts clearly. By solving as many problems as you can, you’ll be able to train your brain in thinking the logical way to solve maths problems. For practising problems, study materials such as sample papers, previous year papers, and NCERT solutions are needed.

Some of the best Maths experts work with us to give you the best solutions for Maths textbook questions and sample paper questions. Chapter-wise NCERT solutions for Class 12 Science Maths can be easily accessible on TopperLearning. Use these solutions to practise problems based on concepts such as direction ratios, probability, area between lines, inverse trigonometric functions, and more.

To prepare for your Maths exam, you need to attempt solving different kinds of Maths questions. One of the best ways to assess your problem-solving abilities is to attempt solving previous year papers with a set timer. Our Maths solutions will come in handy to help you with checking your answers and thus, improving your learning experience. So, to score more marks in your Class 12 board exams, use our Maths solutions that will enable you with the appropriate preparation.