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Day 142: MHT-CET Maths

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

  1. Question 1

    Pair of Straight Lines. Asked 2 times: 11 May 2023 S1, 11 May 2023 S2 See all 2 times it was asked

    130
    The joint equation of pair of lines through the origin, each of which makes an angle of 30°30° with Y-axis, is

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  2. Question 2

    Applications of Derivative. Asked 2 times: 9 May 2023 S2, 11 May 2023 S1 See all 2 times it was asked

    125
    The approximate value of (3.978)3/2(3.978)^{3/2} is

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  3. Question 3

    Determinants and Matrices. Asked 2 times: 3 May 2023 S2, 11 May 2023 S1 See all 2 times it was asked

    131
    Let A=(1−1121−3111)A = \begin{pmatrix}1&-1&1\\2&1&-3\\1&1&1\end{pmatrix} and B=(402)B = \begin{pmatrix}4\\0\\2\end{pmatrix} such that AX=BAX = B, then X=X =

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  4. Question 4

    Line and Plane. Asked 2 times: 2 May 2023 S1*, 11 May 2023 S1 (* = numbers or wording changed that year) See all 2 times it was asked

    130
    The equation of the line passing through the point (3,1,2) and perpendicular to the lines x−11=y−22=z−33\frac{x-1}{1}=\frac{y-2}{2}=\frac{z-3}{3} and x−3=y2=z5\frac{x}{-3}=\frac{y}{2}=\frac{z}{5} is

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  5. Question 5

    Applications of Derivative. Asked 2 times: 9 May 2023 S1, 10 May 2023 S2 See all 2 times it was asked

    109
    Let f(x)=(x−1)(x−2)(x−3),x∈[0,4]f(x) = (x-1)(x-2)(x-3), x\in[0,4]. Values of C if LMVT can be applied.

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