JEE Main 2023 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 6 April 2023, Shift 1, Maths Q28

Question 28 of 90 in this shift, Maths question 28 of 30, Section B.

Let 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 parallel to the line

x-3y=6

meet the parabola

y^2=4x

at B. If B lies on the line

2x-3y=8

, then

(AB)^2

is equal to ____________

Official answer

292

NTA final key.

Chapter: Conic Sections
Topic: Tangents and Normals
Idea tested: Equation of Tangent

Same idea in other shifts

Asked 3× in all

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
24 Feb 2021, Shift 2 · Q70If 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…EasySingle 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.