JEE Advanced 2022 — Set 2
Practice the official JEE Advanced 2022 previous year question paper
About This Paper
This is the official JEE Advanced 2022 examination paper, Set 2. The paper contains 54 multiple-choice questions.
The exam duration is 180 minutes.
Each correct answer carries 3.0 mark with a deduction of 1.0 for wrong answers.
Joint Entrance Examination (Advanced) — the gateway to IITs. Two papers (Physics, Chemistry, Mathematics), 3 hours each. Multiple question types: MCQ single/multiple, integer, matrix match.
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Sample Questions
Let 𝛼 and 𝛽 be real numbers such that − 𝜋 4 < 𝛽< 0 < 𝛼< 𝜋 4 . If sin(𝛼+ 𝛽) = 1 3 and cos(𝛼−𝛽) = 2 3 , then the greatest integer less than or equal to ( sin 𝛼 cos 𝛽+ cos 𝛽 sin 𝛼+ cos𝛼 sin 𝛽+ sin 𝛽 cos 𝛼 ) 2 is _____________.
If 𝑦(𝑥) is the solution of the differential equation 𝑥𝑑𝑦−(𝑦2 −4𝑦)𝑑𝑥= 0 for 𝑥> 0, 𝑦(1) = 2, and the slope of the curve 𝑦= 𝑦(𝑥) is never zero, then the value of 10 𝑦(√2 ) is _____________.
The greatest integer less than or equal to ∫log2(𝑥3 + 1) 2 1 𝑑𝑥 + ∫ (2𝑥−1) 1 3 log2 9 1 𝑑𝑥 is _____________.
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