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Day 263: MHT-CET Maths

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

  1. Question 1

    Straight Line. Asked once: 3 May 2023 S1 (same type asked 2 times) See all 2 of this type

    104
    The number of possible distinct straight lines passing through (2,3)(2,3) and forming a triangle with coordinate axes whose area is 12 sq. units are

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  2. Question 2

    Probability Distribution. Asked once: May 2022 S1 (same type asked 2 times) See all 2 of this type

    133
    If P(A∪B)=0.7P(A \cup B) = 0.7, P(A∩B)=0.2P(A \cap B) = 0.2, then P(A′)+P(B′)P(A') + P(B') is

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  3. Question 3

    Differentiation. Asked once: 2 May 2023 S1 (same type asked 2 times) See all 2 of this type

    108
    If y=e4x⋅(x−4)3/4(x+3)3/4y = e^{4x} \cdot \dfrac{(x-4)^{3/4}}{(x+3)^{3/4}} then dydx=\dfrac{dy}{dx} =

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  4. Question 4

    Indefinite Integration. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    136
    ∫(log⁡x)2x dx\int\frac{(\log x)^2}{x}\,dx

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  5. Question 5

    Measures of Dispersion. Asked once: May 2021 S1 (same type asked 2 times) See all 2 of this type

    110
    The mean and variance of nn observations x1,x2,…,xnx_1, x_2, \ldots, x_n are 5 and 0, respectively. If ∑i=1nxi2=400\sum_{i=1}^n x_i^2 = 400, then the value of nn is equal to

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