Question

The line AB cuts off equal intercepts 2 a from the axes. From any point P on the line AB perpendiculars PR and PS are drawn on the axes. Locus of mid-point of RS is
(A) \(x-y=\frac{a}{2}\)
(B) \(x+y=a\)
(C) \(x^{2}+y^{2}=4 a^{2}\)
(D) \(x^{2}-y^{2}=2 a^{2}\)

Answer 1

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