PYQ Vault

Day 372: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 10 May 2024 S2 (same type asked 7 times) See all 7 of this type

    143
    If pp and qq are true statements and rr and ss are false statements, then the truth values of the statement patterns (p∧q)∨r(p\wedge q)\vee r and (p∨q)↔(q∧r)(p\vee q)\leftrightarrow(q\wedge r) are respectively

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  2. Question 2

    Trigonometric Functions. Asked once: 9 May 2023 S1 (same type asked 7 times) See all 7 of this type

    144
    The general solution of sin⁡x−3sin⁡2x+sin⁡3x=cos⁡x−3cos⁡2x+cos⁡3x\sin x-3\sin 2x+\sin 3x=\cos x-3\cos 2x+\cos 3x is

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  3. Question 3

    Differentiation. Asked once: 9 May 2024 S1 (same type asked 7 times) See all 7 of this type

    127
    The rate of change of x2+16\sqrt{x^2+16} with respect to xx−1\frac{x}{x-1} at x=5x=5 is

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  4. Question 4

    Mathematical Logic. Asked once: 12 May 2024 S2 (same type asked 7 times) See all 7 of this type

    138
    The given following circuit is equivalent to

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  5. Question 5

    Vectors. Asked once: 4 May 2023 S1 (same type asked 7 times) See all 7 of this type

    132
    The number of distinct real values of λ\lambda, for which the vectors −λ2i^+j^+k^-\lambda^2\hat{i}+\hat{j}+\hat{k}, i^−λ2j^+k^\hat{i}-\lambda^2\hat{j}+\hat{k} and i^+j^−λ2k^\hat{i}+\hat{j}-\lambda^2\hat{k} are coplanar, is

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