The coordinates of the points O, A and B are (0,0), (0,4) and (6,0) respectively. If a points P moves such that the area of \[\Delta POA\]is always twice the area of \[\Delta POB\], then the equation to both parts of the locus of P is [IIT 1964]

The coordinates of the points O, A and B are (0,0), (0,4) and (6,0) re

1.	The coordinates of the points O, A and B are (0,0), (0,4) and (6,0) respectively. If a points P moves such that the area of \[\Delta POA\]is always twice the area of \[\Delta POB\], then the equation to both parts of the locus of P is [IIT 1964]
A.	\[(x-3y)(x+3y)=0\]
B.	\[(x-3y)(x+y)=0\]
C.	\[(3x-y)(3x+y)=0\]
D.	None of these
Answer» B. \[(x-3y)(x+y)=0\]

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The coordinates of the points O, A and B are (0,0), (0,4) and (6,0) respectively. If a points P moves such that the area of \[\Delta POA\]is always twice the area of \[\Delta POB\], then the equation to both parts of the locus of P is [IIT 1964]

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