PYQ Vault

Day 358: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked once: 10 May 2023 S2 (same type asked 4 times) See all 4 of this type

    133
    The projection of AB→\overrightarrow{AB} on CD→\overrightarrow{CD}, where A≡(2,−3,0)A\equiv(2,-3,0), B≡(1,−4,−2)B\equiv(1,-4,-2), C≡(4,6,8)C\equiv(4,6,8) and D≡(7,0,10)D\equiv(7,0,10) is

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  2. Question 2

    Indefinite Integration. Asked once: 9 May 2024 S2 (same type asked 4 times) See all 4 of this type

    124
    If ∫sin⁡x3+4cos⁡2x dx=Atan⁡−1(Bcos⁡x)+c\int\dfrac{\sin x}{3 + 4\cos^2 x}\,dx = A\tan^{-1}(B\cos x) + c, (where cc is a constant of integration), then the value of A+BA + B is

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  3. Question 3

    Probability Distribution. Asked once: 10 May 2023 S2 (same type asked 4 times) See all 4 of this type

    108
    A and B are independent events with P(A)=310P(A) = \frac{3}{10}, P(B)=25P(B) = \frac{2}{5}, then P(A′∪B)P(A' \cup B) has the value

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  4. Question 4

    Mathematical Logic. Asked once: 14 May 2026 S1 (same type asked 19 times) See all 19 of this type

    63
    A statement logically equivalent to the statement pattern ∼[(p→∼q)∧(∼q∨p)]\sim[(p \to \sim q) \wedge (\sim q \vee p)] is

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  5. Question 5

    Differential Equations. Asked once: 21 Apr 2025 S1 (same type asked 15 times) See all 15 of this type

    106
    The general solution of dydx=2xyex2\frac{dy}{dx}= 2xye^{x^{2}} is

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