The curve passes through the point

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

Problem

The curve x2+y2+kxy2=9x^{2}+y^{2}+k x y^{2}=9 passes through the point (2,1)(2,1). For which value of kk is the slope at (2,1)(2,1) equal to −35-\dfrac{3}{5}? (a) 76\dfrac{7}{6} (b) −2617-\dfrac{26}{17} (c) 22 (d) 1417\dfrac{14}{17}

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