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Saturday, 31 October

Same idea in other shifts

Asked 12× in all
  1. 2 Apr 2025, Shift 1 · Q3If θ∈[−2π,2π]\theta\in[-2\pi, 2\pi], then the number of solutions of 22cos⁡2θ+(2−6)cos⁡θ−3=02\sqrt{2}\cos^2\theta+(2-\sqrt{6})\cos\theta-\sqrt{3}=0, is equal to :MediumSingle correct
  2. 2 Apr 2025, Shift 2 · Q13If θ∈[−7π6,4π3]\theta \in \left[-\frac{7\pi}{6}, \frac{4\pi}{3}\right], then the number of solutions of…MediumSingle correct
  3. 3 Apr 2025, Shift 2 · Q13The number of solutions of the equation…HardSingle correct
  4. 1 Feb 2024, Shift 2 · Q20The number of solutions of the equation 4sin⁡2x−4cos⁡3x+9−4cos⁡x=04\sin^2x-4\cos^3x+9-4\cos x=0; x∈[−2π,2π]x\in[-2\pi,2\pi] is :HardSingle correct
  5. 31 Jan 2024, Shift 2 · Q2The number of solutions, of the equation esin⁡x−2e−sin⁡x=2e^{\sin x}-2e^{-\sin x}=2, is :MediumSingle correct
  6. 10 Apr 2023, Shift 2 · Q2Let S={x∈(−π2,π2):91−tan⁡2x+9tan⁡2x=10}S = \left\{x \in \left(-\frac{\pi}{2}, \frac{\pi}{2}\right) : 9^{1-\tan^2 x} + 9^{\tan^2 x} = 10\right\} and…MediumSingle correct
  7. 11 Apr 2023, Shift 1 · Q16The number of elements in the set S={θ∈[0,2π]:3cos⁡4θ−5cos⁡2θ−2sin⁡6θ+2=0}S = \{\theta \in [0, 2\pi] : 3\cos^4\theta - 5\cos^2\theta - 2\sin^6\theta + 2 = 0\} isMediumSingle correct
  8. 26 Jul 2022, Shift 1 · Q18Let S={θ∈[0, 2π]:82sin⁡2θ+82cos⁡2θ=16}\mathrm{S} = \{\theta \in [0,\ 2\pi] : 8^{2\sin^2\theta} + 8^{2\cos^2\theta} = 16\}. Then…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.