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Day 252: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 3 May 2023 S2 (same type asked 2 times) See all 2 of this type

    124
    If f ⁣(x−4x−2)=2x+1,  x∈R−{1,−2}f\!\left(\frac{x-4}{x-2}\right)=2x+1,\;x\in\mathbb{R}-\{1,-2\}, then ∫f(x) dx\int f(x)\,dx is equal to

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  2. Question 2

    Permutations and Combinations. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    125
    Out of 7 consonants and 4 vowels, the number of words (not necessarily meaningful) that can be made, each consisting of 3 consonants and 2 vowels, is

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  3. Question 3

    Applications of Derivative. Asked once: 14 May 2024 S1 (same type asked 2 times) See all 2 of this type

    148
    Let B≡(0,3)B\equiv(0,3) and C≡(4,0)C\equiv(4,0). The point AA is moving on the line y=2xy=2x at the rate of 2 units/second. The area of △ABC\triangle ABC is increasing at the rate of

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  4. Question 4

    Complex Numbers. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    144
    If z=(3+i)3(3i+4)2(8+6i)2z = \dfrac{(\sqrt{3}+i)^3(3i+4)^2}{(8+6i)^2}, then ∣z∣|z| is equal to

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  5. Question 5

    Indefinite Integration. Asked once: 19 Apr 2025 S2 (same type asked 2 times) See all 2 of this type

    141
    If ∫ tan⁡4x dx=atan⁡3x+btanx+cx+k\int_{}^{}\ \tan^{4}x\text{ }dx= a\tan^{3}x+ btanx+ cx+ k (where k is the constant of integration) then the value of a−b+c=a - b + c =

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