EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2020 (Sep-23 Shift-1)>Q 2

HARD

AP EAPCET

IMPORTANT

Earn 100

The radius of the circle $2 x^{2} + 2 y^{2} - 3 x + 2 y - 1 = 0$ is _________ units.

47.06% studentsanswered this correctly

Important Questions on Circle

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2020 (Sep-23 Shift-1)>Q 3

If one end of the diameter of

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

is

(4, 1),

then the co-ordinates of the other end is

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2019 (21-Apr Shift-2)>Q 4

If the lines

x + 2 y - 5 = 0

and

2 x - 3 y + 4 = 0

lie along diameters of a circle of area

9 π,

then the equation of the circle is

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2018 (25-APR Shift-1)>Q 5

A B C D

is a square with side

16

units and

A

is the origin. If the equation of the circle circumscribing the square

A B C D

is

x^{2} + y^{2} = 4 k (x + y),

then

k =

HARD

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2018 (25-APR Shift-1)>Q 6

If the lines

2 x + y + 12 = 0, k x - 3 y - 10 = 0

are conjugate with respect to the circle

x^{2} + y^{2} - 4 x + 3 y - 1 = 0,

then

k =

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Forenoon)>Q 7

Find the equation of the circle passing through

(1, - 2)

and touching the

x -

axis at

(3, 0) .

EASY

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET 2021 (19-Aug Afternoon)>Q 8

Find the equation of a circle whose radius is

5

units and passes through two points on the

x

axis which are at a distance of

4

units from the origin.

EASY

AP EAPCET

IMPORTANT

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

If a foot of the normal from the point

(4, 3)

to a circle is

(2, 1)

and

2 x - y - 2 = 0

is a diameter of the circle, then the equation of circle is

MEDIUM

AP EAPCET

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR MATHEMATICS>Chapter 9 - Circle>AP EAPCET - 20 Aug 2021 Forenoon>Q 10

Find the equation of the circle which passes through origin and cuts off the intercepts

- 2

and

3

over the

x

and

y

axes respectively.