Let x k + y k = a k , a , k 0 and d y d x + y x 1 3 = 0 , then k is

Question

Let x k + y k = a k , a , k > 0 and d y d x + y x 1 3 = 0 , then k is, 3 2, 4 3, 2 3, 1 3

MARKS App · Accepted Answer

Differentiating the given equation with respect to x k . x k - 1 + k . y k - 1 d y d x = 0 ⇒ d y d x = - x y k - 1 ⇒ d y d x + x y k - 1 = 0 ⇒ k - 1 = - 1 3 ⇒ k = 1 - 1 3 = 2 3

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