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JEE Main

IMPORTANT

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A circle $S = 0$ passes through the common points of family of circles $x^{2} + y^{2} + λ x - 4 y + 3 = 0$ , and $(λ \in R)$ has minimum area, then

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Important Questions on Circles

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 1

Tangents

P T_{1}

and

P T_{2}

are drawn from a point

P

to the circle

x^{2} + y^{2} = a^{2} .

If the point

P

lies on the line

p x + q y + r = 0,

then the locus of the centre of the circumcircle of the triangle

P T_{1} T_{2}

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 2

An isosceles triangle with base

24

units and each leg measuring

15

units is inscribed in a circle with centre at

(- 1, 1)

. The locus of the centroid of the triangle is:

HARD

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 3

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

and

x^{2} + y^{2} = 36

are two circles. If

P

and

Q

move, respectively on these circles such that

P Q = 4

, then the locus of the midpoint of

P Q

is a circle of radius

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 4

A variable line moves in such a way that the product of the perpendiculars from

(4, 0)

and

(0, 0)

is equal to

9

. The locus of the foot of the perpendicular from

(0, 0)

on the variable line is a circle, the square of whose radius is

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 5

The locus of the mid-point of the chord of the circle of radius

r

which subtends an angle

\frac{π}{4}

at any point on the circumference of the circle, is a concentric circle with radius equal to

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 6

Tangents

P A

and

P B

are drawn to the circle

x^{2} + y^{2} = 8

from any arbitrary point

P

on the line

x + y = 4 .

The locus of the mid-point of chord of contact

A B

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 7

The locus of the center of a circle which cuts a given circle orthogonally and also touches a given straight line is a

MEDIUM

JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 8

A circle with radius

a

and the center on the

y

-axis slides along the

y

-axis. If a variable line through

(a, 0)

cuts the circle at points

P

and

Q

, then the point of intersection of the tangents to the circle at

P

and

Q

will lie in the region defined by

A circle S=0 passes through the common points of family of circles x2+y2+λx-4y+3=0, and λ∈R has minimum area, then

Important Questions on Circles

Learn and Prepare for any exam you want !

A circle $S = 0$ passes through the common points of family of circles $x^{2} + y^{2} + λ x - 4 y + 3 = 0$ , and $(λ \in R)$ has minimum area, then