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Saturday, 31 October

JEE Main 2022 · MathsMultiple choiceSingle correctHardMulti-step

JEE Main 28 June 2022, Shift 2, Maths Q11

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

Let the slope of the tangent to a curve y=f(x)y=f(x) at (x,y)(x, y) be given by 2tan⁡x(cos⁡x−y)2\tan x(\cos x-y). If the curve passes through the point (π/4,0)(\pi/4, 0), then the value of ∫0π/2y dx\int_0^{\pi/2} y\,dx is equal to :
  1. (1)(2−2)+π2(2-\sqrt{2})+\frac{\pi}{\sqrt{2}}
  2. (2)2−π22-\frac{\pi}{\sqrt{2}}Official answer
  3. (3)(2+2)+π2(2+\sqrt{2})+\frac{\pi}{\sqrt{2}}
  4. (4)2+π22+\frac{\pi}{\sqrt{2}}

Official answer

Option 2

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 30 Jan 2024, Shift 2 · Q27Let Y=Y(X)Y = Y(X) be a curve lying in the first quadrant such that the area enclosed by the line Y−y=Y′(x)(X−x)Y - y = Y'(x)(X - x) and the co-ordinate…HardNumerical value

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.