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Question

P is a variable point on the line L=0. Tangents are drawn to the circle x2+y2=4 from P to touch it at Q and R. The parallelogram PQRS is completed.

If P(3,4), then coordinate of S is

A
(4625,6325)
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B
(5125,6825)
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C
(4625,6825)
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D
(6825,5125)
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Solution

The correct option is B (5125,6825)

P(3,4)
Equation of QR is
T=03x+4y=4 (1)
Let S(x1,y1)
S is the mirror image of P w.r.t equation(1), then
x133=y144=2(3×3+4×44)32+42=4225
x1=5125,y1=6825S(5125,6825)

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