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Find the locus of a point `P(alpha, beta)` moving under the condition that the line `y=ax+beta` is a tangent to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`.

A

An ellipse

B

A circle

C

A parabola

D

A hyperbola

Text Solution

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The correct Answer is:
D
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