PYQ Vault

Day 516: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 22 Apr 2025 S2

    127
    The angle between the lines x−3y−4=0,4y−z+5=0x - 3y - 4 = 0,4y - z + 5 = 0 and x+3y−11=0,2y−z+6=0x + 3y - 11 = 0,2y - z + 6 = 0 is

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  2. Question 2

    Trigonometric Functions. Asked once: 22 Apr 2025 S1

    135
    cot⁡−1(2cos⁡(2csc⁡−1(2)))=…\cot^{- 1}\left( 2\cos\left( 2\csc^{- 1}(\sqrt{2}) \right) \right)= \ldots

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  3. Question 3

    Trigonometry - II. Asked once: May 2021 S1

    104
    The value of tan⁡3A−tan⁡2A−tan⁡A\tan 3A - \tan 2A - \tan A is

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  4. Question 4

    Vectors. Asked once: 13 Apr 2026 S2

    91
    If aˉ,bˉ\bar{a}, \bar{b} and cˉ\bar{c} are non-coplanar unit vectors such that the angle between any two of them is 60∘60^\circ, and the vector dˉ=xaˉ+ybˉ+zcˉ\bar{d} = x\bar{a} + y\bar{b} + z\bar{c} is perpendicular to both aˉ\bar{a} and bˉ\bar{b}, then the value of (x+y)z\dfrac{(x + y)}{z} is

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  5. Question 5

    Applications of Derivative. Asked once: 10 May 2024 S2

    122
    If x=3tan⁡tx=3\tan t and y=3sec⁡ty=3\sec t, then the value of d2ydx2\dfrac{d^2y}{dx^2} at t=π4t=\dfrac{\pi}{4} is

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