JEE Main 2025 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q19

Question 19 of 75 in this shift, Maths question 19 of 25, Section A.

A line passing through the point

A(-2,0)

, touches the parabola

P:y^2=x-2

at the point B in the first quadrant. The area, of the region bounded by the line AB, parabola P and the x-axis, is :

(1)2
(2) $\frac{7}{3}$
(3)3
(4) $\frac{8}{3}$ Official answer

Official answer

Option 4

NTA final key.

Chapter: Conic Sections
Topic: Area Under Curves
Idea tested: Area Involving Tangents and Normals

Same idea in other shifts

Asked 3× in all

11 Apr 2023, Shift 2 · Q25If $A$ is the area in the first quadrant enclosed by the curve $C : 2x^2 - y + 1 = 0$ , the tangent to $C$ at the point $(1, 3)$ and the…MediumNumerical value
27 Aug 2021, Shift 2 · Q71The area of the region bounded by the parabola $(y-2)^2 = (x-1)$ , the tangent to it at the point whose ordinate is 3 and the $x$ -axis is :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.