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Day 28: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. This type asked 6 times: 2 May 2023 S2, 3 May 2023 S1, 9 May 2023 S2, 11 May 2023 S1, 16 Apr 2026 S2, 18 Apr 2026 S1. This one: 18 Apr 2026 S1 See all 6 of this type

    76
    If the line x+By+C=0x + By + C = 0 is the normal to the curve given by x=asin⁡3t,y=bcos⁡3tx = a\sin^3 t, y = b\cos^3 t, (where a,b≠0a, b \neq 0) at a point t=π2t = \dfrac{\pi}{2}, then B−C=B - C =

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  2. Question 2

    Applications of Derivative. This type asked 6 times: 2 May 2023 S2, 9 May 2023 S2, 11 May 2023 S1, 22 Apr 2025 S1, 11 Apr 2026 S1, 15 Apr 2026 S2. This one: 15 Apr 2026 S2 See all 6 of this type

    55
    The approximate value of (0.007)13(0.007)^{\frac{1}{3}} is

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  3. Question 3

    Mathematical Logic. This type asked 6 times: 9 May 2023 S2, 10 May 2023 S1, 16 May 2023 S2, 9 May 2024 S2, 14 May 2024 S1, 13 Apr 2026 S2. This one: 13 Apr 2026 S2 See all 6 of this type

    63
    Which of the following statements is logically equivalent to ∼(p↔q)\sim(p \leftrightarrow q) ?

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  4. Question 4

    Trigonometric Functions. This type asked 6 times: 4 May 2023 S2, 16 May 2023 S2, 10 May 2024 S2, 19 Apr 2025 S2, 13 Apr 2026 S1, 13 Apr 2026 S2. This one: 13 Apr 2026 S2 See all 6 of this type

    68
    The value of tan⁡−1(1)+cos⁡−1(12)+sin⁡−1(12)tan⁡−1(3)−sec⁡−1(−2)\dfrac{\tan^{-1}(1) + \cos^{-1}\left(\dfrac{1}{2}\right) + \sin^{-1}\left(\dfrac{1}{2}\right)}{\tan^{-1}(\sqrt{3}) - \sec^{-1}(-2)} is equal to

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  5. Question 5

    Trigonometric Functions. This type asked 6 times: 3 May 2023 S2, 4 May 2023 S1, 15 May 2023 S2, 12 May 2024 S1, 12 May 2024 S2, 11 Apr 2026 S2. This one: 11 Apr 2026 S2 See all 6 of this type

    67
    If cot⁡(cos⁡−1x)=sec⁡(tan⁡−1ab2−a2)\cot(\cos^{-1}x) = \sec\left(\tan^{-1}\dfrac{a}{\sqrt{b^2 - a^2}}\right), then the value of xx is

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