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

MEDIUM

TS EAMCET

IMPORTANT

Earn 100

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

16.67% studentsanswered this correctly

Important Questions on Circle

MEDIUM

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2019 (03-May Shift-2)>Q 1

The equation of the circle that touches the

Y

-axis at a distance of

4

units from the origin and cuts off an intercept of

6

units on the

X

-axis is

MEDIUM

TS EAMCET

IMPORTANT

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

The vertex of the parabola

(y - 1)^{2} = 8 (x - 1)

is at the centre of a circle and the parabola cuts that circle at the ends of its latus rectum. Then the equation of that circle is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2021 (04-Aug Shift-1)>Q 3

If

(a, b)

is the centre of the circle passing through the vertices of the triangle formed by

x + y = 6, 2 x + y = 4

and

x + 2 y = 5,

then

(a, b)

is

EASY

TS EAMCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>TS EAMCET 2021 (04-Aug Shift-1)>Q 4

If the circles

(x - 2)^{2} + (y - 3)^{2} = 25

and

25 x^{2} + 25 y^{2} - 40 x - 70 y - 160 = 0

touch internally at

(α, β)

then

α + β =

EASY

TS EAMCET

IMPORTANT

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

If

(2, a)

does not lie outside the circles

x^{2} + y^{2} = 13

and

x^{2} + y^{2} + x - 2 y = 14,

then

a

lies in

EASY

TS EAMCET

IMPORTANT

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

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?

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

TS EAMCET

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