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Saturday, 31 October

JEE Main · Maths · Conic Sections

Focal distance property

JEE Main asked Focal distance property 5 times in 5 of the 108 shifts Lumi analysed, in 2020, 2021, 2022, 2025 and 2026. It belongs to Ellipse Eccentricity, in Conic Sections (Maths). The longest wait between two years asking it was 3 years.

Updated 2026-10-24

Times asked
5
in 5 shifts
Years
5 of 8
First asked
2020
last in 2026
Pattern
Asked most years
across the analysed shifts

Questions on this idea a shift, by year

2017–2026. Asked in 2020, 2021, 2022, 2025 and 2026. Years differ in how many shifts Lumi analysed, so each year is scaled to one shift of 25 Maths questions.

00.10.20’170.08’200.03’210.04’220’230’240.13’250.11’26

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

Shift by shift

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

  • 20261 of 9
  • 20251 of 8
  • 20240 of 18
  • 20230 of 12
  • 20221 of 24
  • 20211 of 24
  • 20201 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.

  • Count complex numbers on circle and ellipse
  • Distance between foci from focal triangle area

Difficulty

Easy 1Medium 1Hard 3

1 of the 5 questions had a numerical answer.

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. 8 Apr 2026, Shift 2 · Q2The number of values of z∈Cz \in \mathbb{C}, satisfying the equations ∣z−(4+8i)∣=10|z - (4 + 8i)| = \sqrt{10} and…HardSingle correct
  2. 4 Apr 2025, Shift 2 · Q11The centre of a circle C is at the centre of the ellipse E:x2a2+y2b2=1E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a>ba>b. Let C pass through the foci F1F_1…HardSingle correct
  3. 28 Jul 2022, Shift 2 · Q83Let the tangents at the points P and Q on the ellipse x22+y24=1\frac{x^2}{2}+\frac{y^2}{4}=1 meet at the point R(2,22−2)R(\sqrt{2},2\sqrt{2}-2). If S is…HardNumerical value
  4. 3 Aug 2021, Shift 2 · Q74If an ellipse passes through the point (4,1)(4, 1) and has foci at (±3,0)(\pm3, 0), then its eccentricity isMediumSingle correct
  5. 5 Sep 2020, Shift 1 · Q65If the co-ordinates of two points A and B are (7,0)(\sqrt{7},0) and (−7,0)(-\sqrt{7},0) respectively and P is any point on the conic,…EasySingle correct

Shifts: 5 Sep 2020, Shift 1, 3 Aug 2021, Shift 2, 28 Jul 2022, Shift 2, 4 Apr 2025, Shift 2, 8 Apr 2026, 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