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Friday, 9 October

JEE Main 2024 · MathsMultiple choiceSingle correctMediumMulti-step

JEE Main 9 April 2024, Shift 1, Maths Q9

Question 9 of 90 in this shift, Maths question 9 of 30, Section A.

The parabola y2=4xy^2=4x divides the area of the circle x2+y2=5x^2+y^2=5 in two parts. The area of the smaller part is equal to :
  1. (1)13+5sin⁡−1(25)\frac{1}{3}+\sqrt{5}\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)
  2. (2)23+5sin⁡−1(25)\frac{2}{3}+\sqrt{5}\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)
  3. (3)13+5sin⁡−1(25)\frac{1}{3}+5\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)
  4. (4)23+5sin⁡−1(25)\frac{2}{3}+5\sin^{-1}\left(\frac{2}{\sqrt{5}}\right)Official answer

Official answer

Option 4

NTA final key.

Same idea in other shifts

Asked 2× in all
  1. 24 Jun 2022, Shift 1 · Q29Let S be the region bounded by the curves y=x3y=x^3 and y2=xy^2=x. The curve y=2∣x∣y=2|x| divides S into two regions of areas R1R_1 and R2R_2. If…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 42 of the 174 JEE Main shifts held from 2017 to 2026.