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O(0,0), A(6,0), B(0,4) are three points....

O(0,0), A(6,0), B(0,4) are three points. If P is a point such that area of `triangle POB` is twice the area of `triangle POA`, then the locus of P is

A

`4x^2-6y^2=0`

B

`3x^2-4y^2=0`

C

`9x^2-16y^2=0`

D

`x^2-9y^2=0`

Text Solution

Verified by Experts

The correct Answer is:
D
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