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A line cuts the X-axis at A (5,0) and th...

A line cuts the X-axis at A `(5,0)` and the Y-axis at `B(0,-3).` A variable line PQ is drawn pependicular to AB cutting the X-axis at P and the Y-axis at Q. If AQ and BP meet at R, then the locus of R is

A

1) `x ^(2) + y ^(2) -5x + 3y =0`

B

2) `x ^(2) + y ^(2) + 5x + 3y =0`

C

3) `x ^(2) + y ^(2) + 5x -3y =0`

D

4) `x^(2) + y^(2) -5x -3y =0`

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The correct Answer is:
A
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