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Saturday, 31 October

JEE Main · Maths · Conic Sections

Coordinates of foci

JEE Main asked Coordinates of foci 5 times in 5 of the 108 shifts Lumi analysed, in 2021, 2022, 2024 and 2025. It belongs to Ellipse Eccentricity, in Conic Sections (Maths). The longest wait between two years asking it was 2 years. In 2021 it came in more than one shift of the same year.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
4 of 8
First asked
2021
last in 2025
Pattern
Comes in cycles
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2021, 2022, 2024 and 2025. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170’200.07’210.04’220’230.05’240.13’250’26

Raw count: 2017: 0 in 1 shift · 2020: 0 in 12 shifts · 2021: 2 in 24 shifts · 2022: 1 in 24 shifts · 2023: 0 in 12 shifts · 2024: 1 in 18 shifts · 2025: 1 in 8 shifts · 2026: 0 in 9 shifts.

Shift by shift

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

  • 20260 of 9
  • 20251 of 8
  • 20241 of 18
  • 20230 of 12
  • 20221 of 24
  • 20212 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.

  • Eccentricity of conic through foci of two conics
  • Hyperbola from ellipse foci and eccentricity

Difficulty

Easy 0Medium 4Hard 1

Every question was multiple choice.

Every question

All 5 questions

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

  1. 7 Apr 2025, Shift 2 · Q13Let e1e_1 and e2e_2 be the eccentricities of the ellipse x2b2+y225=1\frac{x^2}{b^2}+\frac{y^2}{25}=1 and the hyperbola…MediumSingle correct
  2. 9 Apr 2024, Shift 2 · Q15Let the foci of a hyperbola HH coincide with the foci of the ellipse E:(x−1)2100+(y−1)275=1E:\frac{(x-1)^2}{100}+\frac{(y-1)^2}{75}=1 and the eccentricity of…MediumSingle correct
  3. 25 Jul 2022, Shift 2 · Q14Let the foci of the ellipse x216+y27=1\frac{x^2}{16}+\frac{y^2}{7}=1 and the hyperbola x2144−y2α=125\frac{x^2}{144}-\frac{y^2}{\alpha}=\frac{1}{25} coincide.…MediumSingle correct
  4. 25 Jul 2021, Shift 2 · Q76If a tangent to the ellipse x2+4y2=4x^2+4y^2=4 meets the tangents at the extremities of its major axis at B and C, then the circle with BC as…HardSingle correct
  5. 25 Feb 2021, Shift 2 · Q72A hyperbola passes through the foci of the ellipse x225+y216=1\frac{x^2}{25} + \frac{y^2}{16} = 1 and its transverse and conjugate axes coincide…MediumSingle correct

Shifts: 25 Feb 2021, Shift 2, 25 Jul 2021, Shift 2, 25 Jul 2022, Shift 2, 9 Apr 2024, Shift 2, 7 Apr 2025, Shift 2.

Same topic

Other ideas in Ellipse Eccentricity

Ellipse Eccentricity has 16 ideas JEE Main has asked; 6 of them came up in more than one question. The 12 most asked are below.

Topic analysisChapter analysisStudy this chapterAll repeated ideas