JEE Main 2021 · MathsMultiple choiceSingle correctEasyApplication

JEE Main 24 February 2021, Shift 2, Maths Q70

Question 70 of 90 in this shift, Maths question 10 of 30, Section A.

If the curve

y=ax^2+bx+c

x\in

R, passes through the point (1, 2) and the tangent line to this curve at origin is

y=x

, then the possible values of a, b, c are :

(1) $a=1, b=1, c=0$ Official answer
(2) $a=1, b=0, c=1$
(3) $a=-1, b=1, c=1$
(4) $a=\frac{1}{2}, b=\frac{1}{2}, c=1$

Official answer

Option 1

NTA final key.

Chapter: Application of Derivatives
Topic: Tangents and Normals
Idea tested: Equation of Tangent

Same idea in other shifts

Asked 3× in all

6 Apr 2023, Shift 1 · Q28Let the tangent to the curve $x^2+2x-4y+9=0$ at the point $P(1,3)$ on it meet the $y$ -axis at A. Let the line passing through P and…MediumNumerical value
4 Aug 2021, Shift 1 · Q70The equation of the tangent to the curve $y=\int_{x^2}^{x^3}\frac{dt}{\sqrt{1+t^2}}$ at the point whose abscissa is 1, isMediumSingle 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.