For the curve

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

Problem

For the curve λxy+y2=12\lambda xy + y^{2} = 12, find the value of λ\lambda so that the tangent at the point (2,3)(2,3) is parallel to the line 14y+3x=014y + 3x = 0. (a) −12-\dfrac{1}{2} (b) 12\dfrac{1}{2} (c) 2 (d) 314\dfrac{3}{14}

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