PYQ Vault

Day 454: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 14 May 2026 S1

    92
    If the vectors aˉ=2iˉ+jˉ+3kˉ\bar{a} = 2\bar{i} + \bar{j} + 3\bar{k} and bˉ=piˉ+2jˉ+2kˉ\bar{b} = p\bar{i} + 2\bar{j} + 2\bar{k} are perpendicular to each other, then ...

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  2. Question 2

    Applications of Definite Integral. Asked once: 19 Apr 2025 S1

    125
    The ratio of the areas bounded by the curves y=cos⁡xy= \cos x and y=cos⁡2xy= \cos2x between x=0,x=π3x= 0,x=\frac{\pi}{3} and X -axis is

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  3. Question 3

    Applications of Derivative. Asked once: 12 May 2026 S1

    76
    For which of the following functions is Rolle's theorem not applicable?

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  4. Question 4

    Circle. Asked once: 14 May 2024 S2

    146
    The centre of the circle whose radius is 3 units and touching internally the circle x2+y2−4x−6y−12=0x^2+y^2-4x-6y-12=0 at the point (−1,−1)(-1,-1) is

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  5. Question 5

    Complex Numbers. Asked once: 11 May 2024 S1

    142
    If z=x+iyz=x+iy and z1/3=p+iqz^{1/3}=p+iq, where x,y,p,q∈Rx,y,p,q\in\mathbb{R} and i=−1i=\sqrt{-1}, then value of xp+yq\frac{x}{p}+\frac{y}{q} is

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