PYQ Vault

Day 147: MHT-CET Maths

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

  1. Question 1

    Complex Numbers. This type asked 2 times: 10 May 2023 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    56
    If ω\omega is a complex cube root of unity, then the value of the expression (1−ω+ω2)7+(1+ω−ω2)7(1 - \omega + \omega^2)^7 + (1 + \omega - \omega^2)^7 is equal to...

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  2. Question 2

    Conic Sections. This type asked 2 times: 26 Apr 2025 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    62
    The equation of the directrix of the parabola x2−4x−5y−1=0x^2 - 4x - 5y - 1 = 0 is...

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  3. Question 3

    Determinants and Matrices. This type asked 2 times: 26 Apr 2025 S1, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    73
    If the planes ax=y+zax = y + z, by=z+xby = z + x, cz=x+ycz = x + y pass through a common line, then the value of (a+b+c−abc)=⋯(a + b + c - abc) = \cdots

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  4. Question 4

    Differential Equations. This type asked 2 times: 18 Apr 2026 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    88
    For a certain substance, the rate of change of vapor pressure PP with respect to temperature TT is directly proportional to the vapor pressure PP, and inversely proportional to the square of the temperature TT. The representation of this statement in the form of a differential equation is: (where kk is a constant of proportionality)

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  5. Question 5

    Indefinite Integration. This type asked 2 times: 10 May 2023 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    80
    The value of ∫tan⁡−1(6x1−9x2)dx\int \tan^{-1}\left(\dfrac{6x}{1 - 9x^2}\right) dx, where ∣x∣<13|x| < \dfrac{1}{3} is:

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