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Day 157: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. This type asked 2 times: 3 May 2023 S2, 17 Apr 2026 S1. This one: 17 Apr 2026 S1 See all 2 of this type

    80
    The value of ∫2x13sin⁡x23 dx\displaystyle\int 2x^{\frac{1}{3}}\sin\sqrt[3]{x^2}\,dx is

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  2. Question 2

    Indefinite Integration. This type asked 2 times: 3 May 2023 S2, 16 Apr 2026 S2. This one: 16 Apr 2026 S2 See all 2 of this type

    68
    If f(x−1x+1)=x+1f\left(\dfrac{x - 1}{x + 1}\right) = x + 1, then ∫f(x) dx=⋯\displaystyle\int f(x)\,dx = \cdots

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  3. Question 3

    Permutations and Combinations. This type asked 2 times: May 2021 S1, 16 Apr 2026 S2. This one: 16 Apr 2026 S2 See all 2 of this type

    52
    The number of 4-letter words formed from the English alphabet such that there are exactly 2 vowels and 2 consonants and no vowel is repeated, but consonants may be repeated is:

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  4. Question 4

    Applications of Derivative. This type asked 2 times: 14 May 2024 S1, 16 Apr 2026 S1. This one: 16 Apr 2026 S1 See all 2 of this type

    73
    A triangle has two fixed vertices A (a,0)(a, 0) and B(0,b)(0, b) . Let its third vertex C is moving along the line x=yx = y. If ss is the area of triangle ABC, then dsdx=\dfrac{ds}{dx} =

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  5. Question 5

    Complex Numbers. This type asked 2 times: May 2021 S1, 16 Apr 2026 S1. This one: 16 Apr 2026 S1 See all 2 of this type

    52
    If (1+i)⋅(1+2i)………(1+ni)=x+iy(1 + i)\cdot(1 + 2i)\ldots\ldots\ldots(1 + ni) = x + iy (Where i=−1i = \sqrt{-1} ), then the value of (2)⋅(5)⋅(10)………(1+n2)(2)\cdot(5)\cdot(10)\ldots\ldots\ldots(1 + n^2)

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