# RD Sharma Solution CLass 11 Mathematics Chapter 24 The Circle

## Chapter 24 – The Circle Exercise Ex. 24.1

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

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

If the lines 2x-3y = 5 and 3x-4y = 7 are the diameters of a circle of area 154 square units, then obtain the equation of the circle.

Solution 21

Question 22

Solution 22

Question 23

Find the equation of the circle having (1, -2) as its centre and passing through the intersection of the lines 3x + y = 14 and 2x +5y = 18.

Solution 23

Question 24

If the lines 3x-4y+4 = 0 and 6x-8y-7 = 0 are tangents to a circle, then find the radius of the circle.

Solution 24

Question 25

Solution 25

Question 26

The circle x2+y2-2x-2y+1 = 0 is rolled along the positive direction of x-axis and makes one complete roll. Find its equation in new-position.

Solution 26

Question 27

Solution 27

Question 28

Solution 28

## Chapter 24 – The Circle Exercise Ex. 24.2

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

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

Find the equation of the circle which circumscribes the
triangle formed by the lines.

iv. y = x + 2, 3y = 4x and 2y
= 3x.

Solution 16

Question 17

Solution 17

Question 18

Solution 18

Question 19

Solution 19

Question 20

Solution 20

Question 21

Solution 21

Question 22

Solution 22

Question 23

If a circle passes through the point (0, 0), (a, 0), (0, b), then find the coordinates of its centre.

Solution 23

Question 24

Find the equation of the circle which passes through
the point (2, 3) and (4, 5) and the centre lies on the straight line y – 4x +
3 = 0.

Solution 24

## Chapter 24 – The Circle Exercise Ex. 24.3

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

ABCD is a square whose side is a; taking AB and AD as
axes, prove that the equation of the circle circumscribing the square is x2
+ y2 – a (x + y) = 0

Solution 9

Question 10

Solution 10

Question 11

Solution 11

Question 12

Solution 12

## Chapter 24 – The Circle Exercise Ex. 24VSAQ

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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