JEE Main 2026 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 6 April 2026, Shift 1, Maths Q24

Question 24 of 75 in this shift, Maths question 24 of 25, Section B.

For the functions

f(\theta)=\alpha\tan^2\theta+\beta\cot^2\theta

, and

g(\theta)=\alpha\sin^2\theta+\beta\cos^2\theta

\alpha>\beta>0

, let

\min_{0<\theta<\frac{\pi}{2}}f(\theta)=\max_{0<\theta<\pi}g(\theta)

. If the first term of a G.P. is

\left(\frac{\alpha}{2\beta}\right)

, its common ratio is

\left(\frac{2\beta}{\alpha}\right)

and the sum of its first 10 terms is

\frac{m}{n}

\gcd(m,n)=1

, then

m+n

is equal to ________.

Official answer

1279

NTA final key.

Chapter: Sequences and Series
Topic: AP and GP
Idea tested: GP Sum of n terms

Same idea in other shifts

Asked 10× in all

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25 Jun 2022, Shift 1 · Q30The greatest integer less than or equal to the sum of first 100 terms of the sequence…MediumNumerical value
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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 108 of the 174 JEE Main shifts held from 2017 to 2026.