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Friday, 9 October

JEE Main 2025 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 4 April 2025, Shift 2, Maths Q11

Question 11 of 75 in this shift, Maths question 11 of 25, Section A.

The 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 and F2F_2 of E such that the circle C and the ellipse E intersect at four points. Let P be one of these four points. If the area of the triangle PF1F2PF_1F_2 is 30 and the length of the major axis of E is 17, then the distance between the foci of E is :
  1. (1)26
  2. (2)13Official answer
  3. (3)132\frac{13}{2}
  4. (4)12

Official answer

Option 2

NTA final key.

Chapter
Conic Sections
Topic
Ellipse Eccentricity
Idea tested
Focal distance property

Same idea in other shifts

Asked 3× in all
  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. 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

Question text from the official JEE Main paper published by NTA; answer from the final answer key. Chapter, topic and idea tags, difficulty and skill are Lumi’s. Lumi analyses 42 of the 174 JEE Main shifts held from 2017 to 2026.