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Day 391: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 14 May 2024 S2 (same type asked 7 times) See all 7 of this type

    134
    If ∑r=150tan⁡−112r2=p\sum_{r=1}^{50} \tan^{-1}\frac{1}{2r^2} = p, then tan⁡p\tan p is

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  2. Question 2

    Trigonometric Functions. Asked once: 11 May 2024 S2 (same type asked 7 times) See all 7 of this type

    108
    If the general solution of the equation tan⁡3x−1tan⁡3x+1=3\frac{\tan 3x - 1}{\tan 3x + 1} = \sqrt{3} is nπp+7πq, n,p,q∈Z\frac{n\pi}{p} + \frac{7\pi}{q},\ n,p,q \in \mathbb{Z}, then pqpq is

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  3. Question 3

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

    148
    If truth values of statements p,qp, q are true, and r,sr, s are false, then the truth values of the following statement patterns are respectively. a: ∼(p∧∼r)∨(∼q∨s)\sim(p\wedge\sim r)\vee(\sim q\vee s) b: (∼q∧∼r)↔(p∨s)(\sim q\wedge\sim r)\leftrightarrow(p\vee s) c: (∼p∨q)→(r∧∼s)(\sim p\vee q)\to(r\wedge\sim s)

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  4. Question 4

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

    124
    Derivative of exe^{x} w.r.t. x\sqrt{x} is

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  5. Question 5

    Mathematical Logic. Asked once: 10 May 2024 S1 (same type asked 7 times) See all 7 of this type

    144
    The given circuit is equivalent to

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