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Day 249: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 9 Apr 2024 (same type asked 5 times) See all 5 of this type

    71
    If the domain of the function f(x)=sin⁡−1(x−12x+3)f(x) =\sin^{- 1}\left( \frac{x - 1}{2x + 3} \right) is R−(α,β)R - (\alpha,\beta) then 12αβ12\alpha\beta is equal to:

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  2. Question 2

    Probability. Asked once: 31 Jan 2024 (same type asked 5 times) See all 5 of this type

    168
    A coin is biased so that a head is twice as likely to occur as a tail. If the coin is tossed 3 times, then the probability of getting two tails and one head is-

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  3. Question 3

    Complex Numbers. Asked once: 29 Jul 2022 (same type asked 5 times) See all 5 of this type

    62
    If z=2+3iz = 2 + 3i, then z5+(Z‾)5z^{5}+ (\overline{Z})^{5} is equal to:

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  4. Question 4

    Differential Equations. Asked once: 25 Jun 2022 (same type asked 5 times) See all 5 of this type

    75
    Let y=y(x)y=y(x) be the solution of the differential equation (x+1)y′−y=e3x(x+1)2(x+ 1)y^{'}-y=e^{3x}(x+ 1)^{2}, with y(0)=13y(0) =\frac{1}{3}. Then, the point x=−43x= -\frac{4}{3} for the curve y=y(x)y=y(x) is:

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  5. Question 5

    Sequences and Series. Asked once: 2021 Paper 22 (same type asked 5 times) See all 5 of this type

    68
    Three numbers are in an increasing geometric progression with common ratio rr. If the middle number is doubled, then the new numbers are in an arithmetic progression with common difference dd. If the fourth term of GP is 3r23r^{2}, then r2−dr^{2}-d is equal to:

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