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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 30 July 2022, Shift 2, Maths Q73

Question 73 of 90 in this shift, Maths question 13 of 30, Section A.

If y=y(x)y = y(x) satisfies the differential equation x dy+(xtan⁡(yx)−y)dx=0x\,dy + \left(x \tan\left(\frac{y}{x}\right) - y\right) dx = 0 , x>0x > 0, and y(1)=π2y(1) = \frac{\pi}{2}, then a value of y(2 )y(\sqrt{2}\,) is
  1. (1)π32\frac{\pi}{3\sqrt{2}}
  2. (2)322\frac{3}{2\sqrt{2}}
  3. (3)122\frac{1}{2\sqrt{2}}
  4. (4)3π22\frac{3\pi}{2\sqrt{2}}Official answer

Official answer

Option 4

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 31 Aug 2021, Shift 2 · Q71If…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 108 of the 174 JEE Main shifts held from 2017 to 2026.