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Saturday, 31 October

JEE Main 2021 · MathsNumerical answerNumerical valueHardMulti-step

JEE Main 4 August 2021, Shift 2, Maths Q90

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

The number of real solutions of the equation ∣x2+sin⁡xcos⁡xx(1+sin⁡x)x+cos⁡xx+1∣=0\begin{vmatrix}x^2+\sin x\cos x&x(1+\sin x)\\x+\cos x&x+1\end{vmatrix}=0 is ________.

Official answer

3

NTA final key.

Chapter
Determinants
Topic
No close match in our taxonomy
Idea tested
No close match in our taxonomy

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.