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Question

Mathematics Question on Conic sections

Let the tangent to the parabola y2=12xy^2 = 12x at the point (3, α) be perpendicular to the line 2x + 2y = 3. Then the square of distance of the point (6, – 4) from the normal to the hyperbola α2x29y2=9α2α^2 x^2 – 9y^2 = 9α^2 at its point (α– 1, α + 2) is equal to__

Answer

The Answer is 116