JEE Main 2020MathematicsDifferentiationDifferentiation Of Implicit FunctioneasyMCQ

JEE Main 2020Differentiation Question with Solution

From: JEE Main 2020 (Online) 7th January Morning Slot

Question

Let xk + yk = ak, (a, k > 0 ) and , then k is:

Choose an option

Show full solutionCorrect option: B
Correct answer
B

Step-by-step explanation

xk + yk = ak

kxk - 1 + kyk - 1 = 0

= 0 ...(1)

Given ...(2)

Comparing (1) and (2), we get

k - 1 =

k =

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About this question

This is a previous-year question from JEE Main 2020, covering the Differentiation chapter of Mathematics. PrepSharp catalogues every PYQ from JEE Main with a verified answer key and step-by-step solution prepared by IIT alumni — so you can search by chapter, topic or year and revise efficiently.