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Friday, 9 October

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JEE Main 2024 · MathsNumerical answerNumerical valueMediumApplication

JEE Main 9 April 2024, Shift 2, Maths Q30

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

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation

2\sin^{-1}x+3\cos^{-1}x=\frac{2\pi}{5}

, is __________.

Official answer

0

NTA final key.

Chapter: Inverse Trigonometric Functions
Topic: Inverse Trig Identities
Idea tested: Complementary Identities

Same idea in other shifts

Asked 2× in all

24 Jun 2022, Shift 1 · Q8The set of all values of k for which $(\tan^{-1}x)^3 + (\cot^{-1}x)^3 = k\pi^3,\ x \in \mathbf{R}$ , is the interval :HardSingle 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.