HyperbolaHard

Question

From the points of the circle x2 + y2 = a2, tangents are drawn to the hyperbola x2 - y2 = a2; then the locus of the middle points of the chords of contanct is -

Options

A.(x2 - y2)2 = a2 (x2 + y2)
B.(x2 - y2)2 = 2a2 (x2 + y2)
C.(x2 - y2)2 = a2 (x2 - y2)
D.2(x2 - y2)2 = 3a2 (x2 + y2)

Solution

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