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Day 194: MHT-CET Maths

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

  1. Question 1

    Indefinite Integration. Asked once: 19 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    80
    If f(x)=1log⁡xf(x) = \dfrac{1}{\log x} and g(x)=1(log⁡x)2g(x) = \dfrac{1}{(\log x)^2}, then the value of ∫[f(x)−g(x)] dx\displaystyle\int[f(x) - g(x)]\,dx is...

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  2. Question 2

    Complex Numbers. Asked once: 18 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    51
    The value of (−1+i32)18+(−1−i32)18\left(\dfrac{-1 + i\sqrt{3}}{2}\right)^{18} + \left(\dfrac{-1 - i\sqrt{3}}{2}\right)^{18} is

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  3. Question 3

    Line and Plane. Asked once: 15 Apr 2026 S2 (same type asked 6 times) See all 6 of this type

    92
    The co-ordinates of the point where the line joining the points (3,5,−7)(3, 5, -7) and (−2,1,8)(-2, 1, 8) is intersected by the YOZ plane are

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  4. Question 4

    Probability Distribution. Asked once: 23 Apr 2025 S1 (same type asked 6 times) See all 6 of this type

    113
    In a game a man wins ₹ 40 if he gets 5 or 6 on a throw of a fair die and loses ₹ 20 for getting any other number on the die. If he decides to throw the die either till, he gets a five or six or to a maximum of three throws, then his expected gain/loss (in rupees) is

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  5. Question 5

    Line and Plane. Asked once: 17 Apr 2026 S1 (same type asked 6 times) See all 6 of this type

    93
    If θ\theta is the angle between the lines x−12=2y+34; z=−2\dfrac{x - 1}{2} = \dfrac{2y + 3}{4};\ z = -2 and x=1; y−12=z+12x = 1;\ \dfrac{y - 1}{2} = \dfrac{z + 1}{2}, then

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