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Day 255: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. Asked once: 3 May 2023 S1 (same type asked 2 times) See all 2 of this type

    133
    If g(x)=x2+x−1g(x)=x^2+x-1 and (g∘f)(x)=4x2−10x+5(g\circ f)(x)=4x^2-10x+5, then f(2)f(2) is equal to

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  2. Question 2

    Applications of Derivative. Asked once: 15 May 2023 S1 (same type asked 2 times) See all 2 of this type

    136
    Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the maximum area (in sq. m) of the flowerbed is

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  3. Question 3

    Vectors. Asked once: 9 May 2024 S2 (same type asked 2 times) See all 2 of this type

    145
    If D, E and F are the mid-points of the sides BC, CA and AB of triangle ABC respectively, then AD→+23BE→+13CF→=\overrightarrow{AD}+\frac{2}{3}\overrightarrow{BE}+\frac{1}{3}\overrightarrow{CF}=

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  4. Question 4

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

    130
    lim⁡x→0ex2−cos⁡xx2\lim_{x\to0}\frac{e^{x^2}-\cos x}{x^2} is equal to

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  5. Question 5

    Probability Distribution. Asked once: 15 May 2023 S1 (same type asked 2 times) See all 2 of this type

    127
    The probability, that a year selected at random will have 53 Mondays, is

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