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Day 367: MHT-CET Maths

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

  1. Question 1

    Determinants and Matrices. Asked once: 18 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    63
    If matrix A and its inverse A−1A^{-1} are given by A=[0121233x1]A = \begin{bmatrix} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & x & 1 \end{bmatrix} and A−1=[12−1212−43y52−3212]A^{-1} = \begin{bmatrix} \dfrac{1}{2} & -\dfrac{1}{2} & \dfrac{1}{2} \\ -4 & 3 & y \\ \dfrac{5}{2} & -\dfrac{3}{2} & \dfrac{1}{2} \end{bmatrix}, then the polar co-ordinates of the points whose Cartesian co-ordinates are (x,y)(x, y) are …\ldots

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  2. Question 2

    Determinants and Matrices. Asked once: 9 May 2024 S2 (same type asked 8 times) See all 8 of this type

    143
    Let A=[1110131−21], B=[6110]A=\begin{bmatrix}1&1&1\\0&1&3\\1&-2&1\end{bmatrix},\ B=\begin{bmatrix}6\\11\\0\end{bmatrix} and X=[abc]X=\begin{bmatrix}a\\b\\c\end{bmatrix}, if AX=BAX=B, then the value of 2a+b+2c2a+b+2c is

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  3. Question 3

    Applications of Derivative. Asked once: 15 May 2023 S2 (same type asked 8 times) See all 8 of this type

    104
    The number of values of CC that satisfy the conclusion of Rolle's theorem in case of following function f(x)=sin⁡2πx, x∈[−1,1]f(x) = \sin 2\pi x,\, x \in [-1,1] is

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  4. Question 4

    Binomial Distribution. Asked once: 15 Apr 2026 S2 (same type asked 8 times) See all 8 of this type

    100
    The probability that event A happens in a trial is 0.4. If three independent trials are made, then the probability that A happens at least once is.......

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  5. Question 5

    Applications of Derivative. Asked once: 13 Apr 2026 S1 (same type asked 8 times) See all 8 of this type

    76
    If a spherical balloon has a variable diameter 3x+923x + \dfrac{9}{2} units, then the rate of change of its volume with respect to xx is

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