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Day 3: MHT-CET Maths

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

  1. Question 1

    Trigonometric Functions. This type asked 12 times: 2 May 2023 S1, 4 May 2023 S1, 10 May 2023 S1, 10 May 2023 S2, 11 May 2023 S1, 11 May 2023 S2, 16 May 2023 S2, 13 May 2024 S2, 22 Apr 2025 S2, 26 Apr 2025 S2, 16 Apr 2026 S1, 19 May 2026 S2. This one: 19 May 2026 S2 See all 12 of this type

    64
    The value of cot⁡(csc⁡−153+tan⁡−123)\cot\left(\mathrm{\csc}^{-1}\dfrac{5}{3} + \tan^{-1}\dfrac{2}{3}\right) is ...

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  2. Question 2

    Vectors. This type asked 12 times: 2 May 2023 S1, 10 May 2023 S1, 11 May 2023 S1, 11 May 2023 S2, 16 May 2023 S1, 10 May 2024 S1, 11 May 2024 S1, 13 May 2024 S2, 25 Apr 2025 S1, 25 Apr 2025 S2, 13 Apr 2026 S2, 14 May 2026 S2. This one: 14 May 2026 S2 See all 12 of this type

    91
    If pˉ,qˉ,rˉ\bar{p}, \bar{q}, \bar{r} are unit vectors such that pˉ×(qˉ×rˉ)=17qˉ\bar{p} \times (\bar{q} \times \bar{r}) = \dfrac{1}{7}\bar{q}, then the angle between pˉ\bar{p} and rˉ\bar{r} is

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  3. Question 3

    Binomial Distribution. This type asked 12 times: 2 May 2023 S2, 10 May 2023 S1, 11 May 2023 S2, 9 May 2024 S1, 10 May 2024 S1, 11 May 2024 S1, 12 May 2024 S2, 19 Apr 2025 S1, 20 Apr 2025 S1, 21 Apr 2025 S1, 19 Apr 2026 S1, 20 Apr 2026 S1. This one: 20 Apr 2026 S1 See all 12 of this type

    98
    A random variable X∼B(n,p)X \sim B(n, p) follows a binomial distribution with n=6n = 6. If 9P(X=4)=P(X=2)9P(X = 4) = P(X = 2), then the probability of success pp is..

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  4. Question 4

    Linear Programming. This type asked 12 times: 2 May 2023 S2, 3 May 2023 S1, 4 May 2023 S1, 10 May 2023 S1, 11 May 2023 S1, 9 May 2024 S1, 11 May 2024 S1, 14 May 2024 S2, 20 Apr 2025 S1, 22 Apr 2025 S2, 17 Apr 2026 S2, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 12 of this type

    97
    The shaded region in the provided graph represents the solution set for which of the following systems of linear inequalities?

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  5. Question 5

    Differential Equations. This type asked 11 times: 4 May 2023 S2, 15 May 2023 S1, 14 May 2024 S1, 20 Apr 2025 S1, 22 Apr 2025 S2, 25 Apr 2025 S1, 26 Apr 2025 S1, 11 Apr 2026 S1, 13 Apr 2026 S2, 13 May 2026 S2, 19 May 2026 S2. This one: 19 May 2026 S2 See all 11 of this type

    86
    If y=c1sin⁡2x+c2y = c_1\sin^2 x + c_2, then its differential equation is:

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