JEE Main 2020 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 2 September 2020, Shift 1, Maths Q60

Question 60 of 75 in this shift, Maths question 10 of 25.

If the tangent to the curve

y=x+\sin y

at a point

(a, b)

is parallel to the line joining

\left(0, \frac{3}{2}\right)

and

\left(\frac{1}{2}, 2\right)

, then :

(1) $|b-a|=1$ Official answer
(2) $b=a$
(3) $|a+b|=1$
(4) $b=\frac{\pi}{2}+a$

Official answer

Option 1

NTA final key (Sep 2020).

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

Same idea in other shifts

Asked 3× in all

26 Jun 2022, Shift 1 · Q9Let S be the set of all natural numbers, for which the line $\frac{x}{a} + \frac{y}{b} = 2$ is a tangent to the curve…MediumSingle correct
8 Jan 2020, Shift 1 · Q74Let the normal at a point P on the curve $y^2-3x^2+y+10=0$ intersect the $y$ -axis at $\left(0,\frac{3}{2}\right)$ . If m is the slope of…MediumNumerical value

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.