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

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IMPORTANT

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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 Questions on Circle

MEDIUM

TS EAMCET

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

HARD

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2019 (03-May Shift-2)>Q 26

If the equation of the circle which passes through the point

(1, 1)

and cuts both the circles

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

and

x^{2} + y^{2} + 6 x - 4 y + 15 = 0

orthogonally is

x^{2} + y^{2} + 2 g x + 2 f y + c = 0,

then

5 g + 2 f + c =

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2021 (04-Aug Shift-1)>Q 27

The number of possible common tangents that can be drawn to the circles

x^{2} + y^{2} + 4 x - 6 y - 3 = 0

and

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

is

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 29

If the radical centre of the circles

x^{2} + y^{2} - 8 x - 2 y + 8 = 0, x^{2} + y^{2} + 6 x + 8 y - 24 = 0,

and

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

is

(a, b),

then

a + b =

EASY

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET - 5 August 2021 Shift 1>Q 30

The number of common tangents that can be drawn to the circles

x^{2} + y^{2} = 1

and

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

is

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET - 5 August 2021 Shift 1>Q 31

If the circle

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

has it's centre in

4^{th}

quadrant and touches the circle

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

then,

k =

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 32

The number of common tangents that can be drawn to the circles

x^{2} + y^{2} - 2 x - 2 y - 23 = 0

and

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

is