JEE Main Maths · Conic Sections

Chord Bisected at a Given Point (T=S1)

Chord Bisected at a Given Point (T=S1) (Conic Sections) was asked 4 times in 4 JEE Main shifts, 2024–2026, out of the 42 shifts Lumi analysed. 1 of the 4 had a numerical answer.

Times asked: 4; in 4 shifts
Years: 2024–2026
Usual format: Single correct; Multi-step
Pattern: New since 2024; repeats across shifts

How it is asked

Chord with given midpoint on hyperbola
Chord bisected at given point on circle

Difficulty

Easy 0Medium 2Hard 2

Where it sits

Chapter: Conic Sections. Topic: General Conic Section, 14 questions over 6 ideas.

All 4 questions

Newest first, each with its options and official answer.

2 Apr 2026, Shift 2 · Q11Let $O$ be the origin, and $P$ and $Q$ be two points on the rectangular hyperbola $xy = 12$ such that the midpoint of the line segment…MediumSingle correct
4 Apr 2026, Shift 1 · Q13Suppose that two chords, drawn from the point $(1,2)$ on the circle $x^2+y^2+x-3y=0$ are bisected by the $y$ -axis. If the other ends of…HardSingle correct
6 Apr 2026, Shift 2 · Q12Let $x=9$ be a directrix of an ellipse E, whose centre is at the origin and eccentricity is $\frac{1}{3}$ . Let P $(\alpha,0)$ , $\alpha>0$ ,…MediumSingle correct
9 Apr 2024, Shift 2 · Q27Consider the circle $C: x^2+y^2=4$ and the parabola $P: y^2=8x$ . If the set of all values of $\alpha$ , for which three chords of the…HardNumerical value