Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 10

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IMPORTANT

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The locus of the center of the circle which bisects the circumference of the circles $x^{2} + y^{2} = 4$ and $x^{2} + y^{2} - 2 x + 6 y + 1 = 0$ is

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Important Questions on Circles

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JEE Main

IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 11

Locus of the centre of a family of circles cutting the family of circles

x^{2} + y^{2} + 4 x (λ - \frac{3}{2}) + 3 y (λ - \frac{4}{3}) - 6 (λ + 2) = 0

is

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IMPORTANT

Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 12

Let

Q

is any point on the circle

x^{2} + y^{2} = 9

.

Q N

is the perpendicular from

Q

on the

x

-axis. Locus of the point of trisection of

Q N

is

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Chapterwise/Topicwise Daily Practice Problems (DPP) Coor.dinate Geometry JEE Main & Advanced>Chapter 4 - Circles>DPP>Q 13

Locus of the intersection of the two straight lines passing through

(1, 0)

and

(- 1, 0)

, respectively, and including an angle of

45 °

can be a circle with

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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: