JEE Main 2020 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 8 January 2020, Shift 1, Maths Q74

Question 74 of 75 in this shift, Maths question 24 of 25, Section B.

Let 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 the tangent at P to the curve, then

|m|

is equal to ______.

Official answer

4.00

NTA final key (Jan 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
2 Sep 2020, Shift 1 · Q60If 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…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 108 of the 174 JEE Main shifts held from 2017 to 2026.