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Day 244: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. Asked once: 15 May 2023 S2 (same type asked 2 times) See all 2 of this type

    124
    If cos⁡−1x=α (0<x<1)\cos^{-1}x = \alpha\,(0 < x < 1) and sin⁡−1(2x1−x2)+sec⁡−1(12x2−1)=2π3\sin^{-1}(2x\sqrt{1-x^2}) + \sec^{-1}\left(\frac{1}{2x^2-1}\right) = \frac{2\pi}{3}, then α\alpha is

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  2. Question 2

    Vectors. Asked once: 15 May 2023 S2 (same type asked 2 times) See all 2 of this type

    125
    If the points P,QP, Q and RR are with the position vectors i^−2j^+3k^, −2i^+3j^+2k^\hat{i}-2\hat{j}+3\hat{k},\,-2\hat{i}+3\hat{j}+2\hat{k} and −8i^+13j^-8\hat{i}+13\hat{j} respectively, then these points are

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  3. Question 3

    Circle. Asked once: 23 Apr 2025 S1 (same type asked 2 times) See all 2 of this type

    105
    Let the circle with center at origin pass through the vertices of an equilateral triangle ABC . If A≡(2,4)A\equiv (2,4), then the length of the median through A is

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  4. Question 4

    Applications of Derivative. Asked once: 4 May 2023 S2 (same type asked 2 times) See all 2 of this type

    107
    The approximate value of tan⁡−1(0.999)\tan^{-1}(0.999) is (use π=3.1415\pi=3.1415)

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  5. Question 5

    Indefinite Integration. Asked once: 11 Apr 2026 S1 (same type asked 2 times) See all 2 of this type

    80
    ∫xx+2 dx\displaystyle\int\dfrac{x}{x + 2}\,dx is equal to

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