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Day 398: 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

    105
    The probability distribution of a random variable X is given by: X = 0,1,2,3,4 with P(X) = 0.4, 0.3, 0.1, 0.1, 0.1. Then the variance of X is

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  2. Question 2

    Differentiation. Asked once: 20 Apr 2025 S1 (same type asked 9 times) See all 9 of this type

    138
    If y=xx+x1xy=x^{x}+x^{\frac{1}{x}}, then dydx\frac{dy}{dx} is equal to

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  3. Question 3

    Mathematical Logic. Asked once: 9 May 2024 S2 (same type asked 9 times) See all 9 of this type

    116
    Let p,q,rp, q, r be three statements, then [p→(q→r)]↔[(p∧q)→r][p \to (q \to r)] \leftrightarrow [(p \wedge q) \to r] is

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  4. Question 4

    Mathematical Logic. Asked once: May 2022 S1 (same type asked 9 times) See all 9 of this type

    103
    If p: ∀n∈N\forall n \in \mathbb{N}, n2+nn^2+n is an even number; q: ∀n∈N\forall n \in \mathbb{N}, n2−nn^2-n is an odd number, then the truth values of p∧qp \wedge q, p∨qp \vee q and p→qp \rightarrow q are respectively

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  5. Question 5

    Line and Plane. Asked once: 9 May 2024 S1 (same type asked 8 times) See all 8 of this type

    104
    The distance of the point having position vector i^−2j^−6k^\hat{i}-2\hat{j}-6\hat{k}, from the straight line passing through the point (2,−3,−4)(2,-3,-4) and parallel to the vector 6i^+3j^−4k^6\hat{i}+3\hat{j}-4\hat{k} is

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