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Day 420: MHT-CET Maths

5 questions. Try each one first, then open its answer.

  1. Question 1

    Trigonometric Functions. Asked once: 19 May 2026 S2

    66
    sin⁡−1(cos⁡(sin⁡−1x))+cos⁡−1(sin⁡(cos⁡−1x))=…\sin^{-1}(\cos(\sin^{-1}x)) + \cos^{-1}(\sin(\cos^{-1}x)) = \ldots

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  2. Question 2

    Trigonometry - II. Asked once: 19 May 2026 S1

    52
    If cos⁡A=34\cos A = \dfrac{3}{4}, then the value of 2sin⁡A2⋅sin⁡5A2=…2\sin\dfrac{A}{2} \cdot \sin\dfrac{5A}{2} = \ldots

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  3. Question 3

    Vectors. Asked once: 19 May 2026 S2

    93
    If 8AB⃗−3AC⃗−5AD⃗=0⃗8\vec{AB} - 3\vec{AC} - 5\vec{AD} = \vec{0}, then the point CC divides BDBD in the ratio ...

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  4. Question 4

    Applications of Definite Integral. Asked once: 19 Apr 2026 S1

    85
    The area (in sq. units) of the region enclosed by {(x,y)∣y≤x2,xy≤8,y≥1}\{(x, y) \mid y \le x^2, xy \le 8, y \ge 1\} is...

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  5. Question 5

    Applications of Derivative. Asked once: 19 May 2026 S1

    78
    A student learned 100 Math formulae for an examination. The number of formulae the student can remember in 'tt' days after learning is given by f(t)=100(1−0.1t)2f(t) = 100(1 - 0.1t)^2. Then, the magnitude of the rate at which the student forgets the formula 3 days after learning is:

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