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Tangents to the hyperbola `(x^(2))/(a^(2))-(y^(2))/(b^(2))=1` make angles `alpha and beta` with the transverse axis. Find the locus of the their point of intersection if `tan alpha + tan beta = k`

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The correct Answer is:
Let `m_(1) and m_(2) ` be the root of the equation and let `m_(1) = tan alpha and m_(2) = tan beta`
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