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Day 359: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 10 May 2024 S2 (same type asked 15 times) See all 15 of this type

    147
    If p⃗=i^+j^+k^\vec{p}=\hat{i}+\hat{j}+\hat{k} and q⃗=i^+2j^+k^\vec{q}=\hat{i}+2\hat{j}+\hat{k}. Then a vector of magnitude 535\sqrt{3} units perpendicular to the vector q⃗\vec{q} and coplanar with p⃗\vec{p} and q⃗\vec{q} is

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  2. Question 2

    Binomial Distribution. Asked once: 13 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    97
    The odds in favour of A winning a game of table tennis against B are 1:2. If 3 games are to be played, then the probability of A winning at least two games out of the three is.....

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  3. Question 3

    Trigonometric Functions. Asked once: 17 Apr 2026 S1 (same type asked 14 times) See all 14 of this type

    67
    The value of 3tan⁡−1(12)=…3\tan^{-1}\left(\dfrac{1}{2}\right) = \ldots

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  4. Question 4

    Mathematical Logic. Asked once: 18 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    60
    If the truth value of the statement pattern (∼p∧q)∨(∼p∧∼q)∨(p∧∼q)(\sim p \wedge q) \vee (\sim p \wedge \sim q) \vee (p \wedge \sim q) is FF, then the truth values of (p∨∼q)(p \vee \sim q) and (p→q)(p \to q) are …\ldots respectively.

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  5. Question 5

    Differential Equations. Asked once: 15 Apr 2026 S2 (same type asked 14 times) See all 14 of this type

    85
    The order and degree of the differential equation 3−(d3ydx3)73=(dydx)53 - \left(\dfrac{d^3y}{dx^3}\right)^{\frac{7}{3}} = \left(\dfrac{dy}{dx}\right)^5 are respectively

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