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Q.

Let  O(0,0)andA(0,1)  be two fixed points. Then the locus of a point ‘P’. Such that the perimeter of  ΔAOP  is ‘4’ is

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a

8x2+9y29y=18

b

9x28y2+8y=16

c

8x29y2+9y=18

d

9x2+8y28y=16

answer is C.

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Detailed Solution

OA+OP+AP=4   1+OP+AP=4   OP+AP=3 AP=3OPAP2=(3OP)2   9x2+8y28y=16

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Let  O(0,0) and A(0,1)  be two fixed points. Then the locus of a point ‘P’. Such that the perimeter of  ΔAOP  is ‘4’ is