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The locus a point P(alpha,beta) moving u...

The locus a point `P(alpha,beta)` moving under the condition that the line `y=alphax+beta` is a tangent to the hyperbola `x^2/a^2-y^2/b^2=1` is (A) a parabola (B) an ellipse (C) a hyperbola (D) a circle

A

An ellipse

B

A circle

C

A parabola

D

A hyperbola

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The correct Answer is:
D
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