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Day 306: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. Asked once: 9 May 2024 S1 (same type asked 4 times) See all 4 of this type

    128
    The maximum value of xyxy when x+2y=8x+2y=8 is

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  2. Question 2

    Permutations and Combinations. Asked once: 12 May 2024 S2 (same type asked 4 times) See all 4 of this type

    119
    The number of words that can be formed by using the letters of the word CALCULATE such that each word starts and ends with a consonant, are

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  3. Question 3

    Linear Programming. Asked once: 15 May 2023 S1 (same type asked 4 times) See all 4 of this type

    125
    The region represented by the inequations 2x+3y≤18,x+y≥10,x≥0,y≥02x+3y\leq18, x+y\geq10, x\geq0, y\geq0 is

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  4. Question 4

    Indefinite Integration. Asked once: 22 Apr 2025 S1 (same type asked 4 times) See all 4 of this type

    137
    If ∫2x2+3(x2−1)(x2−4)dx=log⁡[(x−2x+2)a⋅(x+1x−1)b]+c\int\frac{2x^{2}+ 3}{\left( x^{2}- 1 \right)\left( x^{2}- 4 \right)}dx= \log\left\lbrack \left( \frac{x- 2}{x+ 2} \right)^{a}\cdot\left( \frac{x+ 1}{x- 1} \right)^{b} \right\rbrack+ c, (where c is the constant of integration) then the value of a+ba + b is equal to

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  5. Question 5

    Definite Integration. Asked once: 11 Apr 2026 S2 (same type asked 4 times) See all 4 of this type

    82
    If ∫0k11+4x dx=log⁡2(43)\displaystyle\int_0^k\dfrac{1}{1 + 4^x}\,dx = \log_2\left(\dfrac{4}{3}\right), then k=k = _____

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