# 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.

## Chapter 28 - Straight line in space Exercise Ex. 28.1

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

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## Chapter 28 - Straight line in space Exercise Ex. 28.2

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).

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).

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).

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

find the angle between the following pairs of line :

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

## Chapter 28 - Straight line in space Exercise Ex. 28.3

## Chapter 28 - Straight line in space Exercise Ex. 28.4

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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).

## Chapter 28 - Straight line in space Exercise Ex. 28.5

Find the shortest distance between the lines

Find the shortest distance between the lines

Find the shortest distance between the lines

Find the shortest distance between the lines

Find the distance between the lines *l*_{1 }and *l*_{2} given by

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

2013-12-24

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## Chapter 28 - Straight line in space Exercise MCQ

- 45°
- 30°
- 60°
- 90°

Correct option: (d)

- coincident
- skew
- intersecting
- parallel

Correct option: (a)

- 4, 5, 7
- 4, -5, 7
- 4, -5, -7
- -4, 5, 7

Correct option: (a)

Correct option: (c)

Correct option: (a)

- 7
- 5
- 0
- none of these

Correct option: (a)

Correct option: (c)

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

- -2
- -1
- 1
- 2

Correct option: (b)

NOTE: Answer not matching with back answer.

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

Correct option: (a)

Correct option: (b)

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

Correct option: (a)

- parallel
- intersecting
- skew
- coincident

Correct option: (d)

NOTE: Answer not matching with back answer.

- parallel to x-axis
- parallel to y-axis
- parallel to z-axis
- perpendicular to z-axis

Correct option: (d)

Correct option: (d)

## 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.

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