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Let `AB` be a chord of the circle `x^2+y^2=r^2` subtending a right angle at the center. Then the locus of the centroid of the `Delta PAB` as `P` moves on the circle is (1) A parabola (2) A circle (3) An ellipse (4) A pair of straight lines

A

a parabola

B

a circle

C

an ellipse

D

a pair of straight lines

Text Solution

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The correct Answer is:
B
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ARIHANT MATHS-CIRCLE -Exercise For Session 1
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  12. Let PQ and RS be tangents at the extremities of the diameter PR of a c...

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  13. Find the centre and radius of circle 5x^(2)+5y^(2)+4x-8y=16.

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  15. Find the equation of the circle having (1,-2) as its centre and passin...

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