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CP and CD are conjugate diameters of ell...

CP and CD are conjugate diameters of ellipse `(x^2)/(a^2)+(y^2)/(b^2)=1`. Then the locus of mid-point of PD is (where C is centre of ellipse and P,D are adjacent points)

A

`2(x^2+y^2)=a^2x^2+b^2y^2`

B

`2(x^2+y^2)=a^2+b^2`

C

`2(x^2+y^2)^2=a^2x^2+b^2y^2`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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