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JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q64

Question 64 of 75 in this shift, Maths question 14 of 25.

Let P(h, k) be a point on the curve

y=x^{2}+7x+2

, nearest to the line,

y=3x-3

. Then the equation of the normal to the curve at P is :

(1) $x-3y+22=0$
(2) $x+3y-62=0$
(3) $x+3y+26=0$ Official answer
(4) $x-3y-11=0$

Official answer

Option 3

NTA final key (Sep 2020).

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Equation of Normal

Same idea in other shifts

Asked 2× in all

2 Apr 2017 (offline) · Q72The normal to the curve $y(x-2)(x-3)=x+6$ at the point where the curve intersects the $y$ -axis passes through the point :MediumSingle correct

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.