PYQ Vault

Day 380: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 9 May 2023 S2 (same type asked 5 times) See all 5 of this type

    106
    The function f(x)=2x3−6x+5f(x) = 2x^3 - 6x + 5 is an increasing function, if

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  2. Question 2

    Linear Programming. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    142
    The region represented by the inequation system x,y≥0x, y \geq 0, y≤6y \leq 6, x+y≤3x + y \leq 3 is

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  3. Question 3

    Vectors. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    132
    What will be the projection of the vector 4i^−3j^+k^4\hat{i} - 3\hat{j} + \hat{k} on the line joining the points (2,3,−1)(2,3,-1) and (−2,−4,3)(-2,-4,3)?

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  4. Question 4

    Mathematical Logic. Asked once: 13 May 2026 S2 (same type asked 19 times) See all 19 of this type

    66
    The compound statement [∼(p→q)∨∼(p∧r)]∧p[\sim(p \to q) \vee \sim(p \wedge r)] \wedge p is logically equivalent to:

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  5. Question 5

    Differential Equations. Asked once: 11 May 2024 S1 (same type asked 15 times) See all 15 of this type

    123
    The solution of the differential equation dydx=1+y21+x2\frac{dy}{dx} = \frac{1+y^2}{1+x^2} is

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