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Day 406: MHT-CET Maths

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

  1. Question 1

    Probability Distribution. Asked once: 2 May 2023 S2 (same type asked 9 times) See all 9 of this type

    148
    A random variable X has probability distribution: X=1,2,3,4 with P = 0.2, 0.4, 0.3, 0.1. The mean and variance of X are respectively

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  2. Question 2

    Differentiation. Asked once: 11 May 2023 S2 (same type asked 9 times) See all 9 of this type

    148
    If y=(sin⁡x)tan⁡xy=(\sin x)^{\tan x}, then dydx\frac{dy}{dx} is equal to

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  3. Question 3

    Mathematical Logic. Asked once: 11 May 2023 S2 (same type asked 9 times) See all 9 of this type

    142
    The following statement (p→q)→((∼p→q)→q)(p\to q)\to((\sim p\to q)\to q) is

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  4. Question 4

    Line and Plane. Asked once: 9 May 2023 S1 (same type asked 8 times) See all 8 of this type

    145
    The length of the perpendicular from the point A(1,−2,−3)A(1,-2,-3) on the line x−12=y+3−1=z+1−2\frac{x-1}{2}=\frac{y+3}{-1}=\frac{z+1}{-2} is

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  5. Question 5

    Determinants and Matrices. Asked once: 9 May 2023 S1 (same type asked 8 times) See all 8 of this type

    101
    If A=(1111a3322)A = \begin{pmatrix}1&1&1\\1&a&3\\3&2&2\end{pmatrix} and B=(−20b7−1−2c11)B = \begin{pmatrix}-2&0&b\\7&-1&-2\\c&1&1\end{pmatrix} and if matrix B is the inverse of matrix A, then value of 4a+2b−c4a+2b-c is

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