PYQ Vault

Day 226: MHT-CET Maths

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

  1. Question 1

    Conic Sections. Asked once: 22 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    144
    The line y=mx+3y=mx+ 3 is tangent to the parabola y2=4xy^{2}= 4x, if the value of m is

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  2. Question 2

    Probability Distribution. Asked once: 25 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    139
    A family has 3 children. The probability that all the three children are girls, given that at least one of them is a girl is

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  3. Question 3

    Trigonometric Functions. Asked once: 14 May 2024 S1 (same type asked 3 times) See all 3 of this type

    145
    If cos⁡−1x+cos⁡−1y+cos⁡−1z=3π\cos^{-1}x+\cos^{-1}y+\cos^{-1}z=3\pi, then the value of x2025+x2026+x2027x^{2025}+x^{2026}+x^{2027} is

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  4. Question 4

    Applications of Definite Integral. Asked once: 19 Apr 2026 S1 (same type asked 3 times) See all 3 of this type

    84
    If the area of the region bounded by the parabola y2=4kxy^2 = 4kx and the line x=kx = k, (where k>0k > 0) is 1283\dfrac{128}{3} sq. units, then the value of sin⁡−1(2k)\sin^{-1}\left(\dfrac{2}{k}\right) is equal to...

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  5. Question 5

    Indefinite Integration. Asked once: 20 Apr 2025 S2 (same type asked 3 times) See all 3 of this type

    110
    ∫etan⁡−12x1+4x2=\int\frac{e^{\tan^{- 1}2x}}{1 + 4x^{2}}=

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