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Day 382: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. Asked once: 15 May 2023 S1 (same type asked 14 times) See all 14 of this type

    123
    If p→(q∨r)p\to(q\vee r) is false, then the truth values of p,q,rp, q, r are respectively

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  2. Question 2

    Line and Plane. Asked once: 11 May 2023 S1 (same type asked 13 times) See all 13 of this type

    124
    If the lines x+1−10=y+k−1=z−41\frac{x+1}{-10} = \frac{y+k}{-1} = \frac{z-4}{1} and x+10−1=y+1−3=z−14\frac{x+10}{-1} = \frac{y+1}{-3} = \frac{z-1}{4} intersect each other, then the value of k is

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  3. Question 3

    Definite Integration. Asked once: 20 Apr 2025 S1 (same type asked 13 times) See all 13 of this type

    126
    The value of ∫−11(1+x+x2−1−x+x2)dx\int_{- 1}^{1} \left( \sqrt{1 +x+x^{2}}-\sqrt{1 -x+x^{2}} \right)dx is

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  4. Question 4

    Trigonometric Functions. Asked once: 16 May 2023 S2 (same type asked 12 times) See all 12 of this type

    107
    If cos⁡−11213+sin⁡−135=sin⁡−1P\cos^{-1}\frac{12}{13} + \sin^{-1}\frac{3}{5} = \sin^{-1} P, then the value of PP is

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  5. Question 5

    Binomial Distribution. Asked once: 10 May 2024 S1 (same type asked 12 times) See all 12 of this type

    143
    Binomial X, n=6, P(X=4)=135212P(X=4)=\frac{135}{2^{12}}. Variance is

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