PYQ Vault

Day 26: MHT-CET Maths

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

  1. Question 1

    Limits. This type asked 6 times: 2 May 2023 S1, 3 May 2023 S2, 11 May 2024 S2, 19 Apr 2025 S2, 11 Apr 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 6 of this type

    62
    Consider the function: f(x)={x2+1if x<25if x=23x−1if x>2f(x) = \begin{cases} x^2 + 1 & \text{if } x < 2 \\ 5 & \text{if } x = 2 \\ 3x - 1 & \text{if } x > 2 \end{cases} Which of the following statements is correct ?

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  2. Question 2

    Trigonometric Functions. This type asked 6 times: 20 Apr 2025 S1, 20 Apr 2025 S2, 21 Apr 2025 S2, 22 Apr 2025 S2, 15 Apr 2026 S1, 12 May 2026 S1. This one: 12 May 2026 S1 See all 6 of this type

    55
    In ΔABC\Delta ABC, with usual notations, if 1−tan⁡A2⋅tan⁡C2=bk1 - \tan\dfrac{A}{2} \cdot \tan\dfrac{C}{2} = \dfrac{b}{k}, then k=k = ...

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  3. Question 3

    Determinants and Matrices. This type asked 6 times: 2 May 2023 S1, 3 May 2023 S1, 10 May 2023 S2, 11 Apr 2026 S1, 16 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 6 of this type

    64
    If A=[1−5−24]A = \begin{bmatrix} 1 & -5 \\ -2 & 4 \end{bmatrix}, then A−1=A^{-1} =

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  4. Question 4

    Indefinite Integration. This type asked 6 times: 4 May 2023 S1, 11 May 2023 S1, 16 May 2023 S2, 16 Apr 2026 S2, 19 Apr 2026 S1, 20 Apr 2026 S2. This one: 20 Apr 2026 S2 See all 6 of this type

    79
    ∫log⁡x(1+log⁡x)2 dx=\displaystyle\int\dfrac{\log x}{(1 + \log x)^2}\,dx =

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  5. Question 5

    Complex Numbers. This type asked 6 times: 3 May 2023 S2, 11 Apr 2026 S2, 15 Apr 2026 S2, 17 Apr 2026 S1, 18 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 6 of this type

    51
    If ww is a complex cube root of unity , then the value of w10−w7+w5−w2+1w^{10} - w^7 + w^5 - w^2 + 1 is.

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