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Day 401: MHT-CET Maths

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

  1. Question 1

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

    113
    The value of cot⁡∑n=123cot⁡−1 ⁣(1+∑k=1n2k)\cot\sum_{n=1}^{23}\cot^{-1}\!\left(1+\sum_{k=1}^{n}2k\right) is

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  2. Question 2

    Trigonometric Functions. Asked once: 3 May 2023 S1 (same type asked 7 times) See all 7 of this type

    142
    If θ\theta and α\alpha are not odd multiples of π2\frac{\pi}{2}, then tan⁡θ=tan⁡α\tan\theta=\tan\alpha implies principal solution is

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  3. Question 3

    Mathematical Logic. Asked once: 4 May 2023 S2 (same type asked 7 times) See all 7 of this type

    126
    If the statements p, q and r have the truth values F, T, F respectively, then the truth values of the statement patterns (p∧∼q)→r(p\wedge\sim q)\rightarrow r and (p∨q)→r(p\vee q)\rightarrow r are respectively

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  4. Question 4

    Differentiation. Asked once: 3 May 2023 S2 (same type asked 7 times) See all 7 of this type

    146
    Derivative of sin⁡2x\sin^{2}x with respect to ecos⁡xe^{\cos x} is

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  5. Question 5

    Mathematical Logic. Asked once: 3 May 2023 S2 (same type asked 7 times) See all 7 of this type

    136
    The new switching circuit for the following circuit by simplifying the given circuit is

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