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JEE Main 2025 · MathsMultiple choiceSingle correctEasyCalculation

JEE Main 2 April 2025, Shift 2, Maths Q12

Question 12 of 75 in this shift, Maths question 12 of 25, Section A.

If the length of the minor axis of an ellipse is equal to one fourth of the distance between the foci, then the eccentricity of the ellipse is :

(1) $\frac{3}{\sqrt{19}}$
(2) $\frac{4}{\sqrt{17}}$ Official answer
(3) $\frac{\sqrt{5}}{7}$
(4) $\frac{\sqrt{3}}{16}$

Official answer

Option 2

NTA final key.

Chapter: Conic Sections
Topic: Ellipse Eccentricity
Idea tested: Distance Between Foci

Same idea in other shifts

Asked 2× in all

3 Sep 2020, Shift 2 · Q65Let $e_1$ and $e_2$ be the eccentricities of the ellipse, $\frac{x^2}{25} + \frac{y^2}{b^2} = 1$ $(b < 5)$ and the hyperbola,…MediumSingle 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 108 of the 174 JEE Main shifts held from 2017 to 2026.