PYQ Vault

Day 314: MHT-CET Maths

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

  1. Question 1

    Differentiation. Asked once: 22 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    138
    For N∈N,dndxn(log⁡x)=N \in\mathbb{N},\frac{d^{n}}{dx^{n}}(\log x) =

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  2. Question 2

    Trigonometric Functions. Asked once: 23 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    119
    In a triangle ABC with usual notations, cot⁡A2+cot⁡B2+cot⁡C2=\cot\frac{A}{2}+ \cot\frac{B}{2}+ \cot\frac{C}{2}=

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  3. Question 3

    Complex Numbers. Asked once: 16 Apr 2026 S2 (same type asked 3 times) See all 3 of this type

    51
    If nn is a positive integer, then (1+i3)2n+(1−i3)2n(1 + i\sqrt{3})^{2n} + (1 - i\sqrt{3})^{2n} is equal to .........

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  4. Question 4

    Definite Integration. Asked once: 15 May 2023 S2 (same type asked 3 times) See all 3 of this type

    147
    ∫0π/4sec⁡2x(1+tan⁡x)(2+tan⁡x) dx=\int_0^{\pi/4}\frac{\sec^2 x}{(1+\tan x)(2+\tan x)}\,dx =

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  5. Question 5

    Permutations and Combinations. Asked once: 16 May 2023 S2 (same type asked 3 times) See all 3 of this type

    148
    A five-digit number divisible by 3 is to be formed using the digits 0, 1, 2, 3, 4, 5 without repetition, then the total number of ways this can be done is

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