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Day 160: MHT-CET Maths

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

  1. Question 1

    Limits. This type asked 2 times: 11 May 2024 S1, 11 Apr 2026 S2. This one: 11 Apr 2026 S2 See all 2 of this type

    61
    lim⁡x→1[x−2x2−x−1x3−3x2+2x]=\lim_{x \to 1}\left[\dfrac{x - 2}{x^2 - x} - \dfrac{1}{x^3 - 3x^2 + 2x}\right] =

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  2. Question 2

    Sets, Relations and Functions. This type asked 2 times: 3 May 2023 S1, 11 Apr 2026 S2. This one: 11 Apr 2026 S2 See all 2 of this type

    68
    If g(x)=x2+x−2g(x) = x^2 + x - 2 and 12(g∘f)(x)=2x2−5x+2\dfrac{1}{2}(g \circ f)(x) = 2x^2 - 5x + 2 then f(x)f(x) is equal to

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  3. Question 3

    Applications of Derivative. This type asked 2 times: 15 May 2023 S1, 11 Apr 2026 S1. This one: 11 Apr 2026 S1 See all 2 of this type

    75
    A wire of length 6464 m is to be bent to form a rectangle such that its area is maximum, then its area is.....

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  4. Question 4

    Vectors. This type asked 2 times: 9 May 2024 S2, 11 Apr 2026 S1. This one: 11 Apr 2026 S1 See all 2 of this type

    92
    If D and E are the midpoints of the sides BA and BC of triangle ABC, then AE‾+DC‾=\overline{AE} + \overline{DC} =

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  5. Question 5

    Limits. This type asked 2 times: May 2021 S1, 26 Apr 2025 S2. This one: 26 Apr 2025 S2 See all 2 of this type

    109
    lim⁡x→0ex2−cos⁡3xsin⁡x log⁡(1+2x)=\lim_{x\rightarrow 0} \frac{e^{x^{2}}- \cos 3x}{\sin x\ \log(1 + 2x)}=

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