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Day 134: MHT-CET Maths

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

  1. Question 1

    Vectors. Asked 2 times: 9 May 2023 S1*, 11 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    118
    If the area of the parallelogram with a⃗\vec{a} and b⃗\vec{b} as two adjacent sides is 16 sq.units, then the area of the parallelogram having 3a⃗+2b⃗3\vec{a}+2\vec{b} and a⃗+3b⃗\vec{a}+3\vec{b} as two adjacent sides (in sq.units) is

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  2. Question 2

    Applications of Definite Integral. Asked 2 times: May 2022 S1*, 11 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    122
    At present a firm is manufacturing 1000 items. It is estimated that the rate of change of production P w.r.t. additional number of workers x is given by dPdx=100−12x\frac{dP}{dx}=100-12\sqrt{x}. If the firm employs 9 more workers, then the new level of production of items is

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  3. Question 3

    Differentiation. Asked 2 times: 2 May 2023 S1, 11 May 2024 S1 See all 2 times it was asked

    150
    If y=1−sin⁡−1(x)1+sin⁡−1(x)y = \sqrt{\frac{1-\sin^{-1}(x)}{1+\sin^{-1}(x)}}, then dydx\frac{dy}{dx} at x=0x=0 and y=1y=1 is

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  4. Question 4

    Trigonometry - II. Asked 2 times: 10 May 2024 S1, 11 May 2024 S1 See all 2 times it was asked

    119
    The value of tan⁡π8\tan\frac{\pi}{8} is

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  5. Question 5

    Applications of Derivative. Asked 2 times: 2 May 2023 S2*, 10 May 2024 S2 (* = numbers or wording changed that year) See all 2 times it was asked

    131
    The value of cc for the function f(x)=log⁡xf(x)=\log x on [1,e][1,e] if LMVT can be applied, is

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