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MCQMediumJEE Main 2024 · 29 January, Shift 1Trigonometric Equations

Mathematics Question from JEE Main 2024 · 29 January, Shift 1

If α\alpha, with −π/2<α<π/2-\pi/2 < \alpha < \pi/2, is the solution of 4cos⁡(θ)+5sin⁡(θ)=14\cos(\theta) + 5\sin(\theta) = 1, then the value of tan⁡(α)\tan(\alpha) is:

  • A

    (10−10)/6(10 - \sqrt{10})/6

  • B

    (10−10)/12(10 - \sqrt{10})/12

  • C

    (10−10)/12(\sqrt{10} - 10)/12

  • D

    (10−10)/6(\sqrt{10} - 10)/6

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