For what value of does the line touches the hyperbola ?

MATHEMATICS · Subjective · CBSE · Mathematics · Conic Sections · Conic Sections

Problem

For what value of λ\lambda does the line y=2x+λy = 2x + \lambda touches the hyperbola 16x2−9y2=14416x^2 - 9y^2 = 144 ?

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