Let x^(k) + y^(k) = a^(k), (a, k > 0) and dy/dx + (y/x)^(1/3) = 0, then k is:

Limit, Continuity and Differentiability: JEE Main 2020 Mathematics question

JEE Main 2020 · 7 Jan, Morning shift · Q3669

JEE Main 20207 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let x^k + y^k = a^k, (a, k > 0 ) and

{{dy} \over {dx}} + {\left( {{y \over x}} \right)^{{1 \over 3}}} = 0

, then k is:

JEE Main 2020 · 7 Jan, Morning shift · Q3669

JEE Main 20207 Jan, Morning shiftMathematicsEasyLimit, Continuity and Differentiability420× since 2002

Let x^k + y^k = a^k, (a, k > 0 ) and

{{dy} \over {dx}} + {\left( {{y \over x}} \right)^{{1 \over 3}}} = 0

, then k is: