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Day 321: JEE Mains Maths

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

  1. Question 1

    Relations and Functions. Asked once: 6 Apr 2023 (same type asked 4 times) See all 4 of this type

    83
    The number of ways of giving 20 distinct oranges to 3 children such that each child gets at-least one orange is

  2. Question 2

    Statistics. Asked once: 25 Jul 2022 (same type asked 4 times) See all 4 of this type

    168
    If the mean deviation about median for the number 3,5,7,2k,12,16,21,243,5,7,2k,12,16,21,24 arranged in the ascending order, is 6 then the median is

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  3. Question 3

    Complex Numbers. Asked once: 1 Feb 2024 (same type asked 4 times) See all 4 of this type

    162
    If zz is a complex number such that ∣z∣≥1|z| \geq 1, then the minimum value of ∣z+12(3+4i)∣\left| z +\frac{1}{2}(3 + 4i) \right| is:

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  4. Question 4

    Relations and Functions. Asked once: 29 Jan 2023 (same type asked 4 times) See all 4 of this type

    66
    The domain of f(x)=log⁡(x+1)(x−2)e2log⁡ex−(2x+3),x∈Rf(x) =\frac{\log_{(x + 1)}(x - 2)}{e^{2\log_{e}x}- (2x + 3)},x \in R is

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  5. Question 5

    Inverse Trigonometric Functions. Asked once: 28 Jul 2022 (same type asked 4 times) See all 4 of this type

    64
    Considering the principal values of the inverse trigonometric functions, the sum of all the solutions of the equation cos⁡−1(x)−2sin⁡−1(x)=cos⁡−1(2x)\cos^{- 1}(x) - 2\sin^{- 1}(x) =\cos^{- 1}(2x) is equal to:

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