EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET - 5 August 2021 Shift 2>Q 6

EASY

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IMPORTANT

Earn 100

Given the ellipse $(E) 4 x^{2} + 9 y^{2} - 36 = 0,$ the circle $(C) x^{2} + y^{2} - 9 = 0$ and two points $A (1, 2), B (2, 1),$ which of the following is correct?

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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 2020 (9-Sep Shift-1)>Q 7

If the circle

x^{2} + y^{2} - 6 x + 2 y = 28

cuts off a chord of length

λ

units on the line

2 x - 5 y + 18 = 0,

then the value of

λ

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 8

If the line

x + y + 1 = 0

intersects the circle

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

at two points

A

and

B,

then the centre of the circle which passes through the points

A, B

and the point of intersection of the tangents drawn at

A

and

B

to the given circle is

MEDIUM

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IMPORTANT

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

The locus of the centre of the circles passing through the origin and cutting off a chord of length

2

units on the line

x = 1

is

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2018 (04-May Shift-1)>Q 10

If

y + c = 0

is a tangent to the circle

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

at

(a, 4)

, then

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2021 (04-Aug Shift-2)>Q 11

The area of a circle having the lines

3 x - 4 y + 4 = 0

and

6 x - 8 y - 7 = 0

as two of its tangents, is

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 12

If the line

y = m x + C

is a tangent to the circle

x^{2} + y^{2} = 16

then

m =

MEDIUM

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IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2020 (9-Sep Shift-1)>Q 13

The area (in sq. units) of the triangle formed by the two tangents drawn from the extremal point

O (0, 0)

to the circle

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

and their chord of contact is

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2018 (04-May Shift-1)>Q 14

If the chord

L \equiv y - m x - 1 = 0

of the circle

S \equiv x^{2} + y^{2} - 1 = 0

touches the circle

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

, then the possible points for which

L = 0

is a chord of contact of

S = 0

are