If the tangent at to the curve meets the curve again at

MATHEMATICS · Single correct · CBSE · Mathematics · Continuity and Differentiability · Continuity and Differentiability

Problem

If the tangent at (x0,y0)(x_0,y_0) to the curve x3+y3=a3x^3+y^3=a^3 meets the curve again at (x1,y1)(x_1,y_1), then x1x0+y1y0\frac{x_1}{x_0}+\frac{y_1}{y_0} is equal to: (1) 2 (2) 2a2a (3) 1 (4) None of these

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