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JEE Main 2024 · MathsMultiple choiceSingle correctMediumApplication

JEE Main 30 January 2024, Shift 2, Maths Q11

Question 11 of 90 in this shift, Maths question 11 of 30, Section A.

For

\alpha, \beta \in (0, \pi/2)

, let

3\sin(\alpha + \beta) = 2\sin(\alpha - \beta)

and a real number

k

be such that

\tan\alpha = k\tan\beta

. Then, the value of

k

is equal to

(1) $2/3$
(2) $-2/3$
(3) $-5$ Official answer
(4) $5$

Official answer

Option 3

NTA final key.

Chapter: Trigonometric Functions
Topic: Trigonometric Identities
Idea tested: Compound Angle Formulas

Same idea in other shifts

Asked 2× in all

5 Apr 2026, Shift 1 · Q6Let $\tan A$ , $\tan B$ , where $A, B \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right)$ , be the roots of the quadratic equation…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 42 of the 174 JEE Main shifts held from 2017 to 2026.