EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Forenoon)>Q 26

HARD

AP EAPCET

IMPORTANT

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If the chord of contact of tangents from a point on the circle $x^{2} + y^{2} = r_{1}^{2}$ to the circle $x^{2} + y^{2} = r_{2}^{2}$ touches the circle $x^{2} + y^{2} = r_{3}^{2}$ , then $r_{1}, r_{2}, r_{3}$ are in:

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Important Questions on Circle

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Afternoon>Q 27

The poles of the tangents to the circle

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

with respect to the circle

(x + 2)^{2} + y^{2} = 8

lie on

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2019 (21-Apr Shift-2)>Q 28

Given that

a > 2 b > 0

and that the line

y = m x - b \sqrt{1 + m^{2}}

is a common tangent to the circles

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

and

(x - a)^{2} + y^{2} = b^{2}

. Then the positive value of

m

is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2019 (21-Apr Shift-2)>Q 29

Two circles each of radius

5

units touch each other at

(1, 2)

and

4 x + 3 y = 10

is their common tangent. The equation of that circle among the two given circles, such that some portion of it lies in every quadrant is

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2019 (21-Apr Shift-2)>Q 30

If the angle between the circles

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

and

x^{2} + y^{2} + 2 λ y - 4 = 0

is

\frac{π}{3}

then

λ =

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2018 (25-APR Shift-1)>Q 31

The length of the transverse common tangent of the circles

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

and

x^{2} + y^{2} + 4 x - 2 y + 1 = 0

is

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AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2018 (25-APR Shift-1)>Q 32

If the angle between the circles

x^{2} + y^{2} - 12 x - 6 y + 41 = 0

and

x^{2} + y^{2} + k x + 6 y - 59 = 0

is

45^{°}

, then a value of

k

is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2018 (25-APR Shift-1)>Q 33

If the lengths of the tangents drawn from a point

P

to the three circles

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

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

and

x^{2} + y^{2} + 7 y - 18 = 0

are equal, then the coordinates of

P

are

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Forenoon)>Q 34

The radius of the circle whose centre lies at

(1, 2)

, while cutting the circle

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

16 y - 30 = 0

orthogonally, in units.