If x^ m +y^ m =k,(m 1) and y''= ax^ b y^ c such that a+b+c=0, then the value of k is...

MHT CET 2026 Mathematics question

If and such that , then the value of k is...

Answer: (C)

Differentiate : , so . Differentiate again by the quotient rule: . Substitute : , so the numerator is

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Question ID VK-100938