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Two tangents to the hyperbola x^2/a^2-y^...

Two tangents to the hyperbola `x^2/a^2-y^2/b^2=1` make angles `theta_1,theta_2`, with the transverse axis. Find the locus of their point of intersection if `tantheta_1+tantheta_2=k`.

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The correct Answer is:
`k(x^(2)-a^(2))=2xy`
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