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Tangents are drawn from the points on a tangent of the hyperbola `x^2-y^2=a^2` to the parabola `y^2=4a xdot` If all the chords of contact pass through a fixed point `Q ,` prove that the locus of the point `Q` for different tangents on the hyperbola is an ellipse.

A

Circle

B

Ellipse

C

Parabola

D

Hyperbola

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