EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Afternoon)>Q 9

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If a foot of the normal from the point $(4, 3)$ to a circle is $(2, 1)$ and $2 x - y - 2 = 0$ is a diameter of the circle, then the equation of circle is

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Important Questions on Circle

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Forenoon>Q 10

Find the equation of the circle which passes through origin and cuts off the intercepts

- 2

and

3

over the

x

and

y

axes respectively.

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Forenoon>Q 11

The angle between the pair of tangents drawn from

(1, 1)

to the circle

x^{2} + y^{2} + 4 x + 4 y -

1 = 0

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Afternoon>Q 12

The equation of the pair of straight lines parallel to

x - axis

and touching the circle

x^{2} + y^{2} - 6 x - 4 y - 12 = 0

is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Afternoon>Q 13

The centre and radius of the circle

x^{2} + y^{2} + 8 x + 10 y - 8 = 0

respectively are

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2020 (Sep-23 Shift-1)>Q 14

If a line drawn from a fixed point

M (a, b)

cuts the circle

x^{2} + y^{2} = k^{2}

at

C

and

D,

then

M C \times M D

is equal to

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Forenoon)>Q 15

Let

L_{1}

be a straight line passing through the origin and

L_{2}

be the straight line

x + y = 1

. If the intercepts made by the circle

x^{2} + y^{2} - x + 3 y = 0

on

L_{1}

and

L_{2}

are equal, then which of the following equations represent

L_{1}

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Forenoon>Q 16

If the circle

x^{2} + y^{2} - 4 x - 8 y - 5 = 0

intersects the line

3 x - 4 y - m = 0

in two distinct points, then the number of integral values of '

m

' is

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EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Afternoon>Q 17

The points where the circle

x^{2} + y^{2} - 3 x - 4 y + 2 = 0

cuts the

x

-axis are