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Saturday, 31 October

JEE Main · Maths · Conic Sections

Chord Bisected at a Given Point (T=S1)

JEE Main asked Chord Bisected at a Given Point (T=S1) 7 times in 7 of the 108 shifts Lumi analysed, in 2021, 2024 and 2026. It belongs to General Conic Section, in Conic Sections (Maths). The longest wait between two years asking it was 3 years. In 2024 and 2026 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
7
in 7 shifts
Years
3 of 8
First asked
2021
last in 2026
Pattern
Frequent
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2024 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.20.40’170’200.03’210’220’230.14’240’250.33’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 1 in 24 shifts · 2022: 0 in 24 shifts · 2023: 0 in 12 shifts · 2024: 3 in 18 shifts · 2025: 0 in 8 shifts · 2026: 3 in 9 shifts.

Shift by shift

Each square is one analysed shift, in date order. Open a filled one for that paper.

  • 20263 of 9
  • 20250 of 8
  • 20243 of 18
  • 20230 of 12
  • 20220 of 24
  • 20211 of 24
  • 20200 of 12
  • 20170 of 1

Asked in that shift More than once Not asked

How JEE Main framed it

Single correct is the usual form. Skill tested: multi-step.

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

Difficulty

Easy 0Medium 3Hard 4

1 of the 7 questions had a numerical answer.

Every question

All 7 questions

From the official JEE Main shift papers, newest first. Open one for the full question, the options and the official answer.

  1. 6 Apr 2026, Shift 2 · Q12Let x=9x=9 be a directrix of an ellipse E, whose centre is at the origin and eccentricity is 13\frac{1}{3}. Let P (α,0)(\alpha,0), α>0\alpha>0,…MediumSingle correct
  2. 4 Apr 2026, Shift 1 · Q13Suppose that two chords, drawn from the point (1,2)(1,2) on the circle x2+y2+x−3y=0x^2+y^2+x-3y=0 are bisected by the yy-axis. If the other ends of…HardSingle correct
  3. 2 Apr 2026, Shift 2 · Q11Let OO be the origin, and PP and QQ be two points on the rectangular hyperbola xy=12xy = 12 such that the midpoint of the line segment…MediumSingle correct
  4. 27 Jan 2024, Shift 1 · Q16The length of the chord of the ellipse x225+y216=1\dfrac{x^2}{25}+\dfrac{y^2}{16}=1, whose mid point is (1,25)\left(1, \dfrac{2}{5}\right), is equal to :HardSingle correct
  5. 9 Apr 2024, Shift 2 · Q27Consider the circle C:x2+y2=4C: x^2+y^2=4 and the parabola P:y2=8xP: y^2=8x. If the set of all values of α\alpha, for which three chords of the…HardNumerical value
  6. 4 Apr 2024, Shift 2 · Q15Let PQ be a chord of the parabola y2=12xy^2=12x and the midpoint of PQ be at (4,1)(4,1). Then, which of the following point lies on the line…MediumSingle correct
  7. 26 Aug 2021, Shift 2 · Q73The locus of the mid points of the chords of the hyperbola x2−y2=4x^2-y^2=4, which touch the parabola y2=8xy^2=8x, is :HardSingle correct

Shifts: 26 Aug 2021, Shift 2, 27 Jan 2024, Shift 1, 4 Apr 2024, Shift 2, 9 Apr 2024, Shift 2, 2 Apr 2026, Shift 2, 4 Apr 2026, Shift 1, 6 Apr 2026, Shift 2.

Same topic

Other ideas in General Conic Section

General Conic Section has 16 ideas JEE Main has asked; 7 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas