/

Learn

Friday, 9 October

/

JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2026, Shift 2, Maths Q12

Question 12 of 75 in this shift, Maths question 12 of 25, Section A.

Let the directrix of the parabola

P: y^2=8x

, cut x-axis at the point A. Let

B(\alpha, \beta)

,

\alpha>1

, be a point on P such that the slope of AB is

3/5

. If BC is a focal chord of P, then six times the area of

\Delta ABC

is :

(1) $80$
(2) $160$ Official answer
(3) $174$
(4) $192$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Parabola Focal Chords
Idea tested: Parameter relation t1*t2 = -1

Same idea in other shifts

Asked 2× in all

9 Jan 2020, Shift 2 · Q66If one end of a focal chord AB of the parabola $y^2=8x$ is at $A\left(\frac{1}{2},-2\right)$ , then the equation of the tangent to it at B…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 42 of the 174 JEE Main shifts held from 2017 to 2026.