JEE Main 2021 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 3 August 2021, Shift 2, Maths Q73

Question 73 of 90 in this shift, Maths question 13 of 30, Section A.

A curve passes through the point

(-1, 4)

. If the normal to it at any point

(x, y)

on it passes through

(2, 0)

, then its equation is

(1) $(x-2)^2 + y^2 = 25$ Official answer
(2) $2(x-2)^2 + y^2 = 34$
(3) $2y^2 - (x-2)^2 = 23$
(4) $y^2 - (x-2)^2 = 7$

Official answer

Option 1

NTA final key.

Chapter: Differential Equations
Topic: Tangents and Normals
Idea tested: Finding Curve from Tangent/Normal Properties

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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 108 of the 174 JEE Main shifts held from 2017 to 2026.