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The tangents at two points P. Q on the Cycloid x = a ( Sin ), y = a (1-Cos ) are at right angles,

The tangents at two points P. Q on the Cycloid x = a ( Sin ), y = a (1-Cos ) are at right angles, show that if P1, P2 be the radii of curvature a these points, then P12 + P22 = 16a2

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