If the chords of contact of tangents from points (x1,y1) and (x2,y2) t – InterviewSolution

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1.	If the chords of contact of tangents from points (x1,y1) and (x2,y2) to the hyperbola x2a2−y2b2=1 are at right angles such that x1x2y1y2=−ambn where m,n are positve integers, then value of (m+n4)10 is
Answer» If the chords of contact of tangents from points $(x_{1}, y_{1}) and (x_{2}, y_{2})$ to the hyperbola $\frac{x^{2}}{a^{2}} - \frac{y^{2}}{b^{2}} = 1$ are at right angles such that $\frac{x_{1} x_{2}}{y_{1} y_{2}} = - \frac{a^{m}}{b^{n}}$ where $m, n$ are positve integers, then value of ${(\frac{m + n}{4})}^{10}$ is

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