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Day 55: MHT-CET Maths

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

  1. Question 1

    Sets, Relations and Functions. This type asked 4 times: May 2021 S1, 16 May 2023 S2, 10 May 2024 S2, 13 May 2026 S2. This one: 13 May 2026 S2 See all 4 of this type

    52
    If f(x)=sin⁡−1[log⁡1/2(x22)]f(x) = \sin^{-1}\left[\log_{1/2}\left(\dfrac{x^2}{2}\right)\right], then the domain of the function f(x)f(x) is:

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  2. Question 2

    Binomial Distribution. This type asked 4 times: 10 May 2024 S2, 13 May 2024 S2, 12 May 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type

    98
    If the mean of a binomial distribution is twice its variance and n=18n = 18, then the probability of success is...

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  3. Question 3

    Circle. This type asked 4 times: 11 May 2023 S2, 10 May 2024 S2, 12 May 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type

    60
    The Cartesian coordinates of a point P with parameter θ=5π6\theta = \dfrac{5\pi}{6} on the circle x2+y2−2x+4y+1=0x^2 + y^2 - 2x + 4y + 1 = 0 are...

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  4. Question 4

    Definite Integration. This type asked 4 times: 16 May 2023 S2, 11 Apr 2026 S1, 20 Apr 2026 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type

    81
    Let In=∫nn+1x[x] dxI_n = \int_n^{n+1}x[x]\,dx, where [x][x] denotes greatest integer function and n∈Nn \in N. If In=18I_n = 18, then the value of nn is...

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  5. Question 5

    Line and Plane. This type asked 4 times: May 2022 S1, 15 May 2023 S2, 19 Apr 2025 S1, 13 May 2026 S1. This one: 13 May 2026 S1 See all 4 of this type

    94
    A line makes the same angle α\alpha with each of the XX and ZZ axes. If the angle β\beta which it makes with the YY-axis is such that sin⁡2β=2sin⁡2α\sin^2\beta = 2\sin^2\alpha, then the value of cos⁡2α\cos^2\alpha is ...

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