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Friday, 9 October

JEE Main Maths · Conic Sections

Eccentricity calculation

Eccentricity calculation (Conic Sections) was asked 3 times in 3 JEE Main shifts, 2020–2026, out of the 42 shifts Lumi analysed.

Times asked
3
in 3 shifts
Years
2020–2026
Usual format
Single correct
Multi-step
Pattern
Frequent
repeats across shifts

How it is asked

  • Area of triangle from ellipse focus
  • Ellipse and circle intersection length

Difficulty

Easy 1Medium 1Hard 1

Where it sits

Chapter: Conic Sections. Topic: Ellipse Eccentricity, 20 questions over 10 ideas.

Other repeat ideas in this topic

Every time it came

All 3 questions

Newest first, each with its options and official answer.

  1. 5 Apr 2026, Shift 1 · Q9Let a focus of the ellipse E:x2a2+y2b2=1E: \frac{x^2}{a^2}+\frac{y^2}{b^2}=1 be S(4,0)S(4, 0) and its eccentricity be 45\frac{4}{5}. If the point…EasySingle correct
  2. 25 Jul 2021, Shift 1 · Q61Let an ellipse E:x2a2+y2b2=1E:\frac{x^2}{a^2}+\frac{y^2}{b^2}=1, a2>b2a^2>b^2, passes through (32,1)\left(\sqrt{\frac{3}{2}},1\right) and has eccentricity…HardSingle correct
  3. 9 Jan 2020, Shift 2 · Q65The length of the minor axis (along yy-axis) of an ellipse in the standard form is 43\frac{4}{\sqrt3}. If this ellipse touches the line,…MediumSingle correct