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The coordinates of three points O, A, B ...

The coordinates of three points O, A, B are (0, 0), (0,4) and (6, 0) respectively. A point P moves so that the area of `Delta POA` is always twice the area of `Delta POB`. Find the equation to both parts of the locus of P.

A

(x - 3y)(x + 3y) = 0

B

(x - 3y)(x + y) = 0

C

(3x - y)(3x + y) = 0

D

None of these

Text Solution

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The correct Answer is:
A
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