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Let m1 and m2 be the slopes of the tange...

Let m_1 and m_2 be the slopes of the tangents drawn from the point ` P(4,1)` to the hyperbola `H:(y^2)/(25)-(x^2)/(16)=1` . If Q IS the point from which the tangents drawn to H have slopes `|m_1|` and `|m_2|` and they make positive intercepts `alpha` and `beta` on the x-ais , then `(PQ)^2/(alphabeta)` is equal to ___

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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
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