JEE Main 2022 · MathsNumerical answerNumerical valueMediumMulti-step

JEE Main 30 June 2022, Shift 1, Maths Q27

Question 27 of 90 in this shift, Maths question 27 of 30, Section B.

Let PQ be a focal chord of length 6.25 units of the parabola

y^2 = 4x

. If O is the vertex of the parabola, then 10 times the area (in sq. units) of

\Delta POQ

is equal to __________.

Official answer

NTA final key.

Chapter: Conic Sections
Topic: Parabola Focal Chords
Idea tested: Length of focal chord

Same topic in other shifts

All Parabola Focal Chords questions

5 Apr 2026, Shift 2 · Q12Let 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…MediumSingle correct
2 Apr 2025, Shift 1 · Q1Let the focal chord PQ of the parabola $y^2=4x$ make an angle of $60^\circ$ with the positive $x$ -axis, where P lies in the first…MediumSingle correct
2 Apr 2025, Shift 2 · Q11Let the point $P$ of the focal chord $PQ$ of the parabola $y^2 = 16x$ be $(1, -4)$ . If the focus of the parabola divides the chord $PQ$ in…MediumSingle correct
4 Apr 2024, Shift 1 · Q28Let the length of the focal chord PQ of the parabola $y^2=12x$ be 15 units. If the distance of PQ from the origin is p, then $10p^2$ is…MediumNumerical value
5 Apr 2024, Shift 1 · Q28Suppose AB is a focal chord of the parabola $y^2=12x$ of length $l$ and slope $m<\sqrt3$ . If the distance of the chord AB from the origin…MediumNumerical value
8 Apr 2023, Shift 1 · Q14Let $R$ be the focus of the parabola $y^2=20x$ and the line $y=mx+c$ intersect the parabola at two points $P$ and $Q$ . Let the point…HardSingle 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.