JEE Main 2024 · MathsMultiple choiceSingle correctEasyMulti-step

JEE Main 9 April 2024, Shift 1, Maths Q12

Question 12 of 90 in this shift, Maths question 12 of 30, Section A.

Let

f(x)=x^2+9

g(x)=\frac{x}{x-9}

and

a=f\circ g(10)

b=g\circ f(3)

. If

e

and

l

denote the eccentricity and the length of the latus rectum of the ellipse

\frac{x^2}{a}+\frac{y^2}{b}=1

, then

8e^2+l^2

is equal to.

(1) $16$
(2) $12$
(3) $8$ Official answer
(4) $6$

Official answer

Option 3

NTA final key.

Chapter: Conic Sections
Topic: Ellipse Eccentricity
Idea tested: Length of Latus Rectum

Same idea in other shifts

Asked 5× in all

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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.