JEE Main 2017MathematicsApplication of DerivativesMediumMCQ

JEE Main 2017 — Application of Derivatives Question with Solution

JEE Main 2017 (08 Apr Online)

Question

The tangent at the point (2,-2) to the curve, x2y2-2x=41-y does not pass through the point:

Choose an option

Show full solutionCorrect option: A
Correct answer
A-2, -7

Step-by-step explanation

Given curve x2y2-2x=4-4y

Differentiate both sides w.r.t  x,

⇒ 2xy2+2y.x2.dydx-2=-4.dydx

⇒ dydx2y.x2+4=2-2x.y2

⇒ dydx2,-2=2-2×2×42-2×4+4=1412=76

Equation of tangent, y+2=76x-2

⇒7x-6y=26, which doesn't pass through -2-7.

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About this question

This is a previous-year question from JEE Main 2017, covering the Application of Derivatives 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.