JEE Main 2016MathematicsApplication of DerivativesMediumMCQ

JEE Main 2016 — Application of Derivatives Question with Solution

JEE Main 2016 (10 Apr Online)

Question

Let C be a curve given by yx=1+ 4x-3,x>34. If P is a point on C, such that the tangent at P has slope 23, then a point through which the normal at P passes, is :

Choose an option

Show full solutionCorrect option: A
Correct answer
A1, 7

Step-by-step explanation

Given, 

yx=1+ 4x-3

So, dydx=124x-3 ×4=23

⇒ 4x-3=9

⇒ x=3

So, y=4

Equation of normal at  P3, 4 is y-4=-32x-3

i.e., 2y-8=-3x+9

⇒ 3x+2y-17=0

Hence only option A is satisfying the equation.

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About this question

This is a previous-year question from JEE Main 2016, 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.