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JEE Main 2026 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 5 April 2026, Shift 2, Maths Q13

Question 13 of 75 in this shift, Maths question 13 of 25, Section A.

Let the eccentricity e of a hyperbola satisfy the equation

6e^2-11e+3=0

. If the foci of the hyperbola are

(3, 5)

and

(3, -4)

, then the length of its latus rectum is :

(1) $\frac{11}{3}$
(2) $\frac{17}{3}$
(3) $\frac{15}{2}$ Official answer
(4) $\frac{17}{2}$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: No close match in our taxonomy
Idea tested: No close match in our taxonomy

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.