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MCQMediumJEE Main 2024 · 27 January, Shift 1Definite Integrals

Mathematics Question from JEE Main 2024 · 27 January, Shift 1

If (a,b)(a,b) is the orthocentre of the triangle whose vertices are (1,2)(1,2), (2,3)(2,3) and (3,1)(3,1), and

I1=∫abxsin⁡(4x−x2)dx,I2=∫absin⁡(4x−x2)dx,I_1=\int_a^b x\sin\left(4x-x^2\right)dx,\qquad I_2=\int_a^b \sin\left(4x-x^2\right)dx,

then 36I1I236\dfrac{I_1}{I_2} is equal to:

  • A

    7272

  • B

    8888

  • C

    8080

  • D

    6666

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