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Day 44: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. This type asked 5 times: 9 May 2023 S2, 11 May 2023 S1, 15 May 2023 S1, 15 May 2023 S2, 9 May 2024 S2. This one: 9 May 2024 S2 See all 5 of this type

    114
    The range of values of xx for which f(x)=x3+6x2−36x+7f(x) = x^3 + 6x^2 - 36x + 7 is increasing in

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  2. Question 2

    Measures of Dispersion. This type asked 5 times: 4 May 2023 S2, 10 May 2023 S2, 15 May 2023 S1, 16 May 2023 S2, 9 May 2024 S2. This one: 9 May 2024 S2 See all 5 of this type

    107
    If the mean and S.D. of the data 3,5,7,a,b3, 5, 7, a, b are 5 and 2 respectively, then aa and bb are the roots of the equation

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  3. Question 3

    Applications of Definite Integral. Asked 4 times: 3 May 2023 S2*, 4 May 2023 S2*, 9 May 2023 S2*, 19 May 2026 S2 (* = numbers or wording changed that year) See all 4 times it was asked

    84
    The area bounded by the curve y=x2+4,x=y,x=3,y = x^2 + 4, x = y, x = 3, and Y-axis is

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  4. Question 4

    Conic Sections. Asked 4 times: 20 Apr 2025 S1*, 13 Apr 2026 S1*, 12 May 2026 S1*, 19 May 2026 S1 (* = numbers or wording changed that year) See all 4 times it was asked

    63
    The area (in sq.units) of a triangle formed by joining the vertex and the endpoints of the latus rectum of the parabola x2=−20yx^2 = -20y is...

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  5. Question 5

    Applications of Derivative. Asked 4 times: 2 May 2023 S1, 13 May 2024 S2, 11 Apr 2026 S2*, 12 May 2026 S2 (* = numbers or wording changed that year) See all 4 times it was asked

    74
    If Rolle's theorem holds for the function f(x)=x3+px2+qx+5,x∈[1,3]f(x) = x^3 + px^2 + qx + 5, x \in [1, 3] with c=2+13c = 2 + \dfrac{1}{\sqrt{3}}, then the values of pp and qq are respectively...

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