PYQ Vault

Day 184: MHT-CET Maths

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

  1. Question 1

    Line and Plane. Asked once: 20 Apr 2025 S1 (same type asked 8 times) See all 8 of this type

    102
    The direction cosines of the line x−y+2z=5x-y+ 2z= 5 and 3x+y+z=63x+y+z= 6 are

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  2. Question 2

    Binomial Distribution. Asked once: 17 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    99
    If the mean and the variance of a binomial variate X are 1 and 0.75 respectively, then which of the following is true?

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  3. Question 3

    Mathematical Logic. Asked once: 14 May 2026 S2 (same type asked 7 times) See all 7 of this type

    66
    The negation of converse of "I can travel by train if I get my ticket reserved" is

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  4. Question 4

    Indefinite Integration. Asked once: 14 May 2024 S2 (same type asked 7 times) See all 7 of this type

    145
    If ∫x21−x dx=p1−x(3x2+4x+8)+c\int x^2\sqrt{1-x}\,dx = p\sqrt{1-x}(3x^2+4x+8) + c, then the value of pp is

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  5. Question 5

    Limits. Asked once: 11 Apr 2026 S1 (same type asked 7 times) See all 7 of this type

    68
    Let the function f(x)f(x) be defined as: f(x)={[tan⁡(π4+x)]1x,x≠0k,x=0f(x) = \begin{cases} \left[\tan\left(\dfrac{\pi}{4} + x\right)\right]^{\frac{1}{x}}, & x \neq 0 \\ k, & x = 0 \end{cases} If f(x)f(x) is continuous at x=0x = 0, then the value of kk is...

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