PYQ Vault
EbooksTutor

Day 475: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 19 Apr 2026 S2

    78
    If uu and vv are functions of xx, then ∫1v3(uvdudx−u2dvdx)dx=\displaystyle\int\dfrac{1}{v^3}\left(uv\dfrac{du}{dx} - u^2\dfrac{dv}{dx}\right)dx =

    Tap an option to check your answer.

  2. Question 2

    Limits. Asked once: 16 May 2023 S1

    116
    The value of lim⁡x→0+[(sin⁡x)1/x+1xsin⁡x]\lim_{x \to 0^+} \left[(\sin x)^{1/x} + \frac{1}{x^{\sin x}}\right] where x>0x > 0 is

    Tap an option to check your answer.

  3. Question 3

    Line and Plane. Asked once: 17 Apr 2026 S2

    94
    The sum of the coordinates of one of the points on the line x−21=y+3−2=z+52\dfrac{x - 2}{1} = \dfrac{y + 3}{-2} = \dfrac{z + 5}{2} which is at a distance of 3 units from the point (2,−3,−5)(2, -3, -5) is ...

    Tap an option to check your answer.

  4. Question 4

    Permutations and Combinations. Asked once: 19 Apr 2025 S2

    139
    Total number of 3-digit numbers, whose g.c.d with 36 is 2 , is

    Tap an option to check your answer.

  5. Question 5

    Probability Distribution. Asked once: 23 Apr 2025 S1

    112
    Let mean and standard deviation of probability distribution
    X=xX = x−3-301α\alpha
    P(X=x)P(X = x)14\frac{1}{4}KK14\frac{1}{4}13\frac{1}{3}
    be μ\mu and σ\sigma respectively and if σ−μ=2\sigma-\mu= 2 then σ=\sigma=

    Tap an option to check your answer.