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Day 397: MHT-CET Maths

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

  1. Question 1

    Limits. Asked once: 4 May 2023 S1 (same type asked 10 times) See all 10 of this type

    147
    lim⁡x→0(1−cos⁡2x)(3+cos⁡x)xtan⁡4x\lim_{x\to0}\frac{(1-\cos2x)(3+\cos x)}{x\tan4x} has the value

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  2. Question 2

    Linear Programming. Asked once: 16 May 2023 S1 (same type asked 10 times) See all 10 of this type

    134
    Maximum value of Z=100x+70yZ = 100x + 70y subject to 2x≥4,y≤3,x+y≤8,x,y≥02x \geq 4, y \leq 3, x+y \leq 8, x,y \geq 0 is

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  3. Question 3

    Applications of Definite Integral. Asked once: 15 May 2023 S2 (same type asked 10 times) See all 10 of this type

    108
    The area enclosed between the parabola y2=4xy^2 = 4x and the line y=2x−4y = 2x - 4 is

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  4. Question 4

    Limits. Asked once: 20 Apr 2025 S1 (same type asked 10 times) See all 10 of this type

    124
    lim⁡x→0etan⁡x−extan⁡x−x=\lim_{x\rightarrow 0} \frac{e^{\tan x}-e^{x}}{\tan x-x}=

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  5. Question 5

    Mathematical Logic. Asked once: 10 May 2023 S2 (same type asked 9 times) See all 9 of this type

    145
    The converse of "If 3 is a prime number, then 3 is odd." is

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