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ConceptConics - Locus of Points from Which Two Tangents Are Mutually Perpendicular

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#### Question

Find the equation of the locus of the point of intersection of two tangents drawn to the hyperbola `x^2/7-y^2/5=1` such that the sum of the cubes of their slopes is 8.

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Solution for concept: Conics - Locus of Points from Which Two Tangents Are Mutually Perpendicular. For the courses HSC Arts, HSC Science (Computer Science), HSC Science (Electronics), HSC Science (General)