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Day 93: MHT-CET Maths

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

  1. Question 1

    Line and Plane. This type asked 3 times: 19 Apr 2025 S2, 21 Apr 2025 S1, 13 Apr 2026 S1. This one: 13 Apr 2026 S1 See all 3 of this type

    93
    The co-ordinates of the foot of the perpendicular from the origin to the plane 2x−3y−6z=492x - 3y - 6z = 49 are...

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  2. Question 2

    Applications of Derivative. This type asked 3 times: 16 May 2023 S2, 21 Apr 2025 S2, 11 Apr 2026 S2. This one: 11 Apr 2026 S2 See all 3 of this type

    76
    The value of kk such that the function f(x)=sin⁡x−cos⁡x−kx+bf(x) = \sin x - \cos x - kx + b is strictly decreasing for all real xx is

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  3. Question 3

    Determinants and Matrices. This type asked 3 times: 11 May 2024 S2, 25 Apr 2025 S1, 11 Apr 2026 S2. This one: 11 Apr 2026 S2 See all 3 of this type

    65
    If A=[00−10−10−100]A = \begin{bmatrix} 0 & 0 & -1 \\ 0 & -1 & 0 \\ -1 & 0 & 0 \end{bmatrix} then which of the following is true ?

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  4. Question 4

    Applications of Derivative. This type asked 3 times: 14 May 2024 S2, 21 Apr 2025 S1, 11 Apr 2026 S1. This one: 11 Apr 2026 S1 See all 3 of this type

    74
    The difference between the local extreme values of the function f(x)=2x3−15x2+36x+40f(x) = 2x^3 - 15x^2 + 36x + 40 is ......

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  5. Question 5

    Probability Distribution. This type asked 3 times: 9 May 2023 S1, 26 Apr 2025 S1, 11 Apr 2026 S1. This one: 11 Apr 2026 S1 See all 3 of this type

    100
    Two cards are drawn at random from a standard pack of 5252 cards. Then the probability that the draw consists of exactly one face card and exactly one ace card is...

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