JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 25 June 2022, Shift 2, Maths Q14

Question 14 of 90 in this shift, Maths question 14 of 30, Section A.

If the angle made by the tangent at the point

(x_0, y_0)

on the curve

x = 12\,(t + \sin t \cos t)

y = 12\,(1 + \sin t)^2

0 < t < \frac{\pi}{2}

, with the positive

x

-axis is

\frac{\pi}{3}

, then

y_0

is equal to:

(1) $6\left(3 + 2\sqrt{2}\right)$
(2) $3\left(7 + 4\sqrt{3}\right)$
(3)27Official answer
(4)48

Official answer

Option 3

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Tangents to Parametric Curves

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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.