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PQ is a chord joining the points phi1 an...

PQ is a chord joining the points `phi_1` and `phi_2` on the hyperbola `x^2/a^2 - y^2/b^2 = 1`. If `phi_1 and phi_2 = 2 alpha`, where`alha` is constant, prove that PQ touches the hyperbola `x^2/a^2 cos^2 alpha - y^2 /b^2 = 1`

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