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JEE Main 2026 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 5 April 2026, Shift 1, Maths Q12

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

The sum of all the integral values of

p

such that the equation

3\sin^2 x + 12\cos x - 3 = p

,

x \in \mathbb{R}

, has at least one solution, is:

(1)-54
(2)-60
(3)-75Official answer
(4)-84

Official answer

Option 3

NTA final key.

Chapter: Trigonometric Functions
Topic: Maxima and Minima
Idea tested: Extrema of Trigonometric Compositions

Same idea in other shifts

Asked 2× in all

27 Aug 2021, Shift 2 · Q68Let M and m respectively be the maximum and minimum values of the function $f(x) = \tan^{-1}(\sin x + \cos x)$ in…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.