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Day 56: MHT-CET Maths

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

  1. Question 1

    Applications of Derivative. This type asked 4 times: 12 May 2024 S2, 19 Apr 2025 S2, 12 May 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 4 of this type

    76
    The sum of the abscissae of the points on the curve y=x3−6x2+x+3y = x^3 - 6x^2 + x + 3 whose normal is parallel to the line x+y=1975x + y = 1975 is...

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  2. Question 2

    Differential Equations. This type asked 4 times: 19 Apr 2025 S2, 19 Apr 2026 S2, 12 May 2026 S1, 12 May 2026 S2. This one: 12 May 2026 S2 See all 4 of this type

    87
    The differential equation of the family of lines perpendicular to the line passing through the point (3,−5)(3, -5) with inclination π3\dfrac{\pi}{3} is...

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  3. Question 3

    Mathematical Logic. This type asked 4 times: May 2021 S1, 25 Apr 2025 S1, 15 Apr 2026 S2, 12 May 2026 S2. This one: 12 May 2026 S2 See all 4 of this type

    64
    The negation of the statement "She will earn money if she works" is...

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  4. Question 4

    Mathematical Logic. This type asked 4 times: 3 May 2023 S1, 21 Apr 2025 S2, 18 Apr 2026 S2, 12 May 2026 S2. This one: 12 May 2026 S2 See all 4 of this type

    63
    The switching circuit for the logical expression (p∧q)∨∼(p∧q)(p \wedge q) \vee \sim(p \wedge q) is simplified and found to be equivalent to a circuit with:

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  5. Question 5

    Definite Integration. This type asked 4 times: 14 May 2024 S2, 17 Apr 2026 S1, 20 Apr 2026 S2, 12 May 2026 S1. This one: 12 May 2026 S1 See all 4 of this type

    82
    If nn is an odd natural number and In=∫01ex(x−1)n dxI_n = \int_0^1 e^x(x - 1)^n\,dx, then the value of In+nIn−1I_n + nI_{n-1} is equal to ...

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