Let $ x^{k}+y^{k}=a^{k}(a, k0) $ and $ \frac{d y}{d x}+\left(\frac{y}{x}\right)^{\frac{1}{3}}=0 $, then $ k $ is [JEE Main 2020, 7 Jan (Shift 1)]

Question

Let $ x^{k}+y^{k}=a^{k}(a, k>0) $ and $ \frac{d y}{d x}+\left(\frac{y}{x}\right)^{\frac{1}{3}}=0 $, then $ k $ is [JEE Main 2020, 7 Jan (Shift 1)]

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Let \( x^{k}+y^{k}=a^{k}(a, k>0) \) and \( \frac{d y}{d x}+\left(\frac{y}{x}\right)^{\frac{1}{3}}=0 \), then \( k \) …