JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 July 2022, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

Let a smooth curve

y=f(x)

be such that the slope of the tangent at any point

(x,y)

on it is directly proportional to

\left(\frac{-y}{x}\right)

. If the curve passes through the points

(1,2)

and

(8,1)

, then

\left|y\left(\frac{1}{8}\right)\right|

is equal to

(1) $2\log_e 2$
(2) $4$ Official answer
(3) $1$
(4) $4\log_e 2$

Official answer

Option 2

NTA final key.

Chapter: Differential Equations
Topic: Variable Separable Form
Idea tested: Geometric Applications

Same idea in other shifts

Asked 3× in all

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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.