PYQ Vault
EbooksTutor

Day 12: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. This type asked 8 times: 9 May 2023 S1, 22 Apr 2025 S2, 13 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S2, 12 May 2026 S2, 14 May 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 8 of this type

    72
    If A=[0121233a1]A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & a & 1 \end{bmatrix} and A−1=[12−1212−43c52−3212]A^{-1} = \begin{bmatrix} \dfrac{1}{2} & -\dfrac{1}{2} & \dfrac{1}{2} \\ -4 & 3 & c \\ \dfrac{5}{2} & -\dfrac{3}{2} & \dfrac{1}{2} \end{bmatrix}, then ...

    Tap an option to check your answer.

  2. Question 2

    Determinants and Matrices. This type asked 8 times: 2 May 2023 S2, 3 May 2023 S2, 11 May 2023 S1, 9 May 2024 S2, 20 Apr 2025 S2, 11 Apr 2026 S2, 13 May 2026 S1, 15 May 2026 S1. This one: 15 May 2026 S1 See all 8 of this type

    70
    If [1112−17312][xyz]=[172]\begin{bmatrix} 1 & 1 & 1 \\ 2 & -1 & 7 \\ 3 & 1 & 2 \end{bmatrix}\begin{bmatrix} x \\ y \\ z \end{bmatrix} = \begin{bmatrix} 1 \\ 7 \\ 2 \end{bmatrix} then [xyz]=\begin{bmatrix} x \\ y \\ z \end{bmatrix} =

    Tap an option to check your answer.

  3. Question 3

    Vectors. This type asked 8 times: May 2022 S1, 2 May 2023 S2, 3 May 2023 S2, 14 May 2024 S2, 22 Apr 2025 S2, 20 Apr 2026 S1, 20 Apr 2026 S2, 15 May 2026 S1. This one: 15 May 2026 S1 See all 8 of this type

    88
    Let aˉ=2i^+k^\bar{a} = 2\hat{i} + \hat{k}, bˉ=i^+j^+k^\bar{b} = \hat{i} + \hat{j} + \hat{k}, and cˉ=4i^−3j^+7k^\bar{c} = 4\hat{i} - 3\hat{j} + 7\hat{k}. If rˉ\bar{r} is a vector such that rˉ×bˉ=cˉ×bˉ\bar{r} \times \bar{b} = \bar{c} \times \bar{b} and rˉ⋅aˉ=0\bar{r} \cdot \bar{a} = 0, then the value of the scalar product rˉ⋅i^\bar{r} \cdot \hat{i} is:

    Tap an option to check your answer.

  4. Question 4

    Applications of Derivative. This type asked 8 times: 3 May 2023 S2, 15 May 2023 S2, 11 May 2024 S1, 21 Apr 2025 S1, 13 Apr 2026 S2, 19 Apr 2026 S1, 20 Apr 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 8 of this type

    75
    The value of cc for which the function f(x)=log⁡(x2+65x)f(x) = \log\left(\dfrac{x^2 + 6}{5x}\right) satisfies Rolle's theorem in the interval [2,3][2, 3] is ____

    Tap an option to check your answer.

  5. Question 5

    Binomial Distribution. This type asked 8 times: 2 May 2023 S1, 3 May 2023 S1, 3 May 2023 S2, 15 Apr 2026 S2, 16 Apr 2026 S1, 18 Apr 2026 S2, 19 Apr 2026 S2, 14 May 2026 S1. This one: 14 May 2026 S1 See all 8 of this type

    98
    The probability that a person hits a target is 0.60.6. If he fires 55 shots at the target, then the probability that he hits the target at least once is

    Tap an option to check your answer.