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Day 88: MHT-CET Maths

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

  1. Question 1

    Pair of Straight Lines. This type asked 3 times: 3 May 2023 S2, 25 Apr 2025 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 3 of this type

    58
    If the combined equation of angle bisectors of the lines x2−2pxy−y2=0x^2 - 2pxy - y^2 = 0 is x2−2qxy−y2=0x^2 - 2qxy - y^2 = 0, then which of the following is true?

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  2. Question 2

    Applications of Definite Integral. This type asked 3 times: 9 May 2024 S2, 10 May 2024 S2, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    82
    If the area bounded by y=x3+axy = x^3 + ax (where a>0a > 0), the xx-axis and the lines x=−2x = -2 and x=1x = 1 is 374\dfrac{37}{4} square units, then …\ldots

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  3. Question 3

    Determinants and Matrices. This type asked 3 times: May 2021 S1, 16 Apr 2026 S2, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    64
    Let A=[−3214]A = \begin{bmatrix} -3 & 2 \\ 1 & 4 \end{bmatrix} and if A2−2A+I=[18pq11]A^2 - 2A + I = \begin{bmatrix} 18 & p \\ q & 11 \end{bmatrix}, then …\ldots

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  4. Question 4

    Differentiation. This type asked 3 times: 14 May 2024 S2, 11 Apr 2026 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    73
    If f′(x)=sin⁡2xf'(x) = \sin^2 x and y=f(2x−1x2+1)y = f\left(\dfrac{2x - 1}{x^2 + 1}\right), then dydx\dfrac{dy}{dx} at x=1x = 1 is

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  5. Question 5

    Line and Plane. This type asked 3 times: May 2022 S1, 10 May 2023 S1, 18 Apr 2026 S2. This one: 18 Apr 2026 S2 See all 3 of this type

    94
    If the equation of a plane passing through A(1,p,2),B(3,2,4)A(1, p, 2), B(3, 2, 4) and parallel to the z axis, is 3x−2y−q=03x - 2y - q = 0, then …\ldots

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