Chapter 25 : Parabola - Rd Sharma Solutions for Class 11-science Maths CBSE

Page / Exercise

Chapter 25 - Parabola Exercise Ex. 25.1

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

 L a t u s space R e c t u m space equals L e n g t h space o f space p e r p e n d i c u l a r space f r o m space f o c u s space left parenthesis 2 comma 3 right parenthesis space o n space d i r e c t r i x space x minus 4 y plus 3 equals 0
equals 2 open vertical bar fraction numerator 2 minus 12 plus 3 over denominator square root of 1 plus 16 end root end fraction close vertical bar
equals 2 open vertical bar fraction numerator minus 7 over denominator square root of 17 end fraction close vertical bar
equals fraction numerator 14 over denominator square root of 17 end fraction

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

Question 10

Solution 10

 
 
 
 
 
 
Question 11

Solution 11

Question 12

Solution 12

Question 13

Solution 13

Question 14

Solution 14

Question 15

Solution 15

Question 16

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Find the area of the triangle formed by the lines joining the vertex of the parabola x squared space equals space 12 y  to the ends of its latus- rectum

Solution 21

Question 22

Solution 22

Question 23

Solution 23

Question 24

Solution 24

Question 25

Solution 25

Question 26

Solution 26

Question 27

Solution 27

Question 28

Find the equation of the lines joining the vertex of the parabola y2 = 6x to the point on it which have abscissa 24

Solution 28

Question 29

Find the coordinates of points on the parabola y2 = 8x whose focal distance is 4

Solution 29

In given parabola

a=2

Given focal distance=a+x=4, so x=2

So points are (2, 4) and (2, -4)

Question 30

Find the length  of the lines segment joining the vertex of the parabola y2 = 4ax and a point on the parabola where the line-segment makes an angle theta to the axis

Solution 30

Question 31

If the points (0, 4) and (0, 2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

Solution 31

  

Question 32

If the line y = mx + 1 is tangent to the parabola y2 = 4x, then find the value of m.

Solution 32

  

Chapter 25 - Parabola Exercise Ex. 25VSAQ

Question 1

Solution 1

Question 2

Solution 2

Question 3

Solution 3

Question 4

Solution 4

Question 5

Solution 5

Question 6

Solution 6

Question 7

Solution 7

Question 8

Solution 8

Question 9

Solution 9

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