PYQ Vault

Day 163: MHT-CET Maths

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

  1. Question 1

    Mathematical Logic. This type asked 2 times: 16 May 2023 S1, 23 Apr 2025 S1. This one: 23 Apr 2025 S1 See all 2 of this type

    131
    Which of the following is the negation of the statement " For all M>0M > 0, there exist x∈ sx\in\text{ }s such that x⩾M′′x\geqslant M^{''}

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  2. Question 2

    Sets, Relations and Functions. This type asked 2 times: 10 May 2024 S1, 23 Apr 2025 S1. This one: 23 Apr 2025 S1 See all 2 of this type

    142
    If f(x)=3x+10, g(x)=x2−1f(x) = 3x+ 10,\text{ }g(x) =x^{2}- 1, then (fog)−1(x)=(fog)^{- 1}(x) =

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  3. Question 3

    Applications of Derivative. This type asked 2 times: 14 May 2024 S1, 22 Apr 2025 S2. This one: 22 Apr 2025 S2 See all 2 of this type

    134
    The normal to the curve x=9(1+cos⁡θ)x= 9(1 +\cos\theta), y=9sin⁡θy= 9\sin\theta at θ\theta always passes through the fixed point

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  4. Question 4

    Trigonometry - II. This type asked 2 times: 19 Apr 2025 S1, 22 Apr 2025 S2. This one: 22 Apr 2025 S2 See all 2 of this type

    117
    If sin⁡A=nsin(A+2 B)\sin A = nsin(A + 2\text{ }B), then tan⁡(A+B)=\tan(A + B) =

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  5. Question 5

    Applications of Derivative. This type asked 2 times: 11 May 2024 S2, 22 Apr 2025 S1. This one: 22 Apr 2025 S1 See all 2 of this type

    110
    If xx is real, then the difference between the greatest and least values of x2−x+1x2+x+1\frac{x^{2}-x+ 1}{x^{2}+x+ 1} is

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