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Saturday, 31 October

JEE Main 2021 · MathsMultiple choiceSingle correctMediumCalculation

JEE Main 26 February 2021, Shift 2, Maths Q63

Question 63 of 90 in this shift, Maths question 3 of 30, Section A.

Let A1A_1 be the area of the region bounded by the curves y=sin⁡xy=\sin x, y=cos⁡xy=\cos x and yy-axis in the first quadrant. Also, let A2A_2 be the area of the region bounded by the curves y=sin⁡xy=\sin x, y=cos⁡xy=\cos x, xx-axis and x=π2x=\frac{\pi}{2} in the first quadrant. Then,
  1. (1)A1:A2=1:2A_1 : A_2 = 1 : 2 and A1+A2=1A_1 + A_2 = 1
  2. (2)A1:A2=1:2A_1 : A_2 = 1 : \sqrt{2} and A1+A2=1A_1 + A_2 = 1Official answer
  3. (3)A1=A2A_1 = A_2 and A1+A2=2A_1 + A_2 = \sqrt{2}
  4. (4)2A1=A22A_1 = A_2 and A1+A2=1+2A_1 + A_2 = 1 + \sqrt{2}

Official answer

Option 2

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 25 Feb 2021, Shift 1 · Q88The graphs of sine and cosine functions, intersect each other at a number of points and between two consecutive points of intersection,…MediumNumerical 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.