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Day 222: MHT-CET Maths

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

  1. Question 1

    Differential Equations. Asked once: 19 Apr 2025 S2 (same type asked 4 times) See all 4 of this type

    126
    The principal increases continuously in a newly opened bank at the rate of 10%10\% per year. An amount of Rs. 2000 is deposited with this bank. How much will it become after 5 years? ( e0.5=1.648e^{0.5}= 1.648 )

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  2. Question 2

    Probability Distribution. Asked once: 12 May 2024 S1 (same type asked 4 times) See all 4 of this type

    137
    A and B are independent events with P(A)=14P(A)=\frac{1}{4} and P(A∪B)=2P(B)−P(A)P(A\cup B)=2P(B)-P(A), then P(B)P(B) is

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  3. Question 3

    Circle. Asked once: May 2021 S1 (same type asked 4 times) See all 4 of this type

    109
    The circles x2+y2+6x+6y=0x^2+y^2+6x+6y=0 and x2+y2−12x−12y=0x^2+y^2-12x-12y=0

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  4. Question 4

    Measures of Dispersion. Asked once: 4 May 2023 S1 (same type asked 4 times) See all 4 of this type

    103
    The variance of first 50 even natural numbers is

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  5. Question 5

    Indefinite Integration. Asked once: 20 Apr 2025 S1 (same type asked 3 times) See all 3 of this type

    130
    If ∫2x+3(x−1)(x2+1)dx=log⁡e{(x−1)52(x2+1)a}−12tan⁡−1x+A\int\frac{2x+ 3}{(x- 1)\left( x^{2}+ 1 \right)}dx=\log_{e}\left\{ (x- 1)^{\frac{5}{2}}\left( x^{2}+ 1 \right)^{a} \right\}-\frac{1}{2}\tan^{- 1}x+ A where A is an arbitrary constant, then the value of aa is

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