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Day 29: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. This type asked 6 times: 3 May 2023 S2, 11 May 2023 S2, 16 May 2023 S1, 16 May 2023 S2, 12 May 2024 S1, 26 Apr 2025 S1. This one: 26 Apr 2025 S1 See all 6 of this type

    136
    If y=αlog⁡x+βx3−xy=\alpha \log x+\beta x^{3}-x has extreme values at x=−1x= - 1 and x=1x= 1, then α\alpha and β\beta are respectively

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  2. Question 2

    Line and Plane. This type asked 6 times: 3 May 2023 S2, 9 May 2024 S2, 11 May 2024 S2, 13 May 2024 S2, 20 Apr 2025 S2, 23 Apr 2025 S1. This one: 23 Apr 2025 S1 See all 6 of this type

    141
    The distance of the point P(3,4,4)P(3,4,4) from the point of intersection of the line joining the points Q(3,−4,−5),R(2,−3,1)Q(3, - 4, - 5),R(2, - 3,1) and the plane 2x+y+z=72x+y+z= 7 is

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  3. Question 3

    Measures of Dispersion. This type asked 6 times: May 2022 S1, 9 May 2023 S2, 10 May 2023 S1, 10 May 2024 S2, 11 May 2024 S1, 14 May 2024 S1. This one: 14 May 2024 S1 See all 6 of this type

    150
    The variance of 20 observations is 5. If each observation is multiplied by 2, then variance of resulting observations is

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  4. Question 4

    Permutations and Combinations. This type asked 6 times: May 2022 S1, 3 May 2023 S2, 15 May 2023 S2, 9 May 2024 S2, 10 May 2024 S1, 14 May 2024 S1. This one: 14 May 2024 S1 See all 6 of this type

    118
    A linguistic club consists of 6 girls and 4 boys. A team of 4 members is to be selected from this group including the selection of a leader (from among these 4 members) for the team. If the team has to include at most one boy, the number of ways of selecting the team is

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  5. Question 5

    Applications of Derivative. This type asked 6 times: 4 May 2023 S2, 15 May 2023 S1, 10 May 2024 S1, 11 May 2024 S2, 12 May 2024 S1, 12 May 2024 S2. This one: 12 May 2024 S2 See all 6 of this type

    137
    A ladder, 5 meters long, rests against a vertical wall. If its top slides downwards at the rate of 10 cm/s, then the angle between the ladder and the floor is decreasing at the rate of ___ radians/second when its lower end is 4 m away from the wall.

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