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Day 458: MHT-CET Maths

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

  1. Question 1

    Trigonometry - II. Asked once: 16 Apr 2026 S1

    54
    The value of sin⁡23Asin⁡2A−cos⁡23Acos⁡2A\dfrac{\sin^2 3A}{\sin^2 A} - \dfrac{\cos^2 3A}{\cos^2 A} is

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  2. Question 2

    Vectors. Asked once: 14 May 2026 S1

    88
    Let a⃗\vec{a} and b⃗\vec{b} be two unit vectors such that their sum is also a unit vector. If u⃗=a⃗+2b⃗\vec{u} = \vec{a} + 2\vec{b} and v⃗=2a⃗+b⃗\vec{v} = 2\vec{a} + \vec{b}, then the angle between u⃗\vec{u} and v⃗\vec{v} is

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  3. Question 3

    Applications of Definite Integral. Asked once: 12 May 2024 S1

    120
    The area of the region bounded by the curves y=exy=e^{x}, y=log⁡xy=\log x and lines x=1x=1, x=2x=2 is

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  4. Question 4

    Applications of Derivative. Asked once: 20 Apr 2026 S1

    76
    On the interval [0,1][0, 1], the function f(x)=x25(1−x)75f(x) = x^{25}(1 - x)^{75} attains its maximum value at the point x=x =....

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  5. Question 5

    Circle. Asked once: 14 May 2024 S1

    108
    If the line x−2y=mx-2y=m (m∈Zm\in\mathbb{Z}) intersects the circle x2+y2=2x+4yx^2+y^2=2x+4y at two distinct points, then the number of possible values of mm are

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