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 -

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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)

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