EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2020 (9-Sep Shift-1)>Q 17

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IMPORTANT

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Consider the circles
$S_{1} : x^{2} + y^{2} + 2 x + 8 y - 23 = 0$ and $S_{2} : x^{2} + y^{2} - 4 x + 10 y + 19 = 0$
If the polars of the centre of a circle with respect to the another circle are $L_{1}$ and $L_{2}$ , then $L_{1}, L_{2}$ are

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Important Questions on Circle

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2021 (04-Aug Shift-2)>Q 18

The polars of

(- 1, 2)

with respect to the two circles

S_{1} \equiv x^{2} + y^{2} + 6 y + 7 = 0

and

S_{2} \equiv x^{2} + y^{2} + 6 x + 1 = 0

are

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET - 5 August 2021 Shift 2>Q 19

If the points

(2, 3)

and

(K, - 2)

are conjugate with respect to the circle

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

, then

K =

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2020 (9-Sep Shift-1)>Q 20

If the circle

S \equiv x^{2} + y^{2} - 4 = 0

intersects another circle

S^{'} = 0

of radius

\frac{5 \sqrt{2}}{2}

in such a manner that the common chord is of maximum length with slope equal to

\frac{1}{4},

then the centre of

S^{'} = 0

is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2020 (9-Sep Shift-1)>Q 21

If the angle between the circles

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

and

x^{2} + y^{2} + 8 x - 4 y + 11 = 0

is

\frac{π}{3},

then a value of

k

is

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2018 (04-May Shift-1)>Q 22

If the circles given by

S \equiv x^{2} + y^{2} - 14 x + 6 y + 33 = 0

and

S^{'} \equiv x^{2} + y^{2} - a^{2} = 0 (a \in N)

have

4

common tangents, then the possible number of circles

S^{'} = 0

is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2018 (04-May Shift-1)>Q 23

The center of the circle passing through the point

(1, 0)

and cutting the circles

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

and

x^{2} + y^{2} + 6 x - 2 y + 1 = 0

orthogonally is

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2018 (04-May Shift-1)>Q 24

The equation of the tangent at the point

(0, 3)

on the circle which cuts the circles

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

and

x^{2} + y^{2} - 12 x + 2 y + 3 = 0

orthogonally is

HARD

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2019 (03-May Shift-2)>Q 25

The condition for the circles

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

and

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

to touch each other is