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Day 350: JEE Mains Maths

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

  1. Question 1

    Application of Integrals. Asked once: 24 Jan 2023 (same type asked 5 times) See all 5 of this type

    179
    If the area of the region bounded by the curves y2−2y=−x,x+y=0y^{2}- 2y = - x,x + y = 0 is AA, then 8 A8\text{ }A is equal to

  2. Question 2

    Relations and Functions. Asked once: 2021 Paper 9 (same type asked 5 times) See all 5 of this type

    74
    The real valued function f(x)=csc⁡−1xx−[x]f(x) =\frac{\csc^{- 1}x}{\sqrt{x - \lbrack x\rbrack}}, where [x] denotes the greatest integer less than or equal to xx, is defined for all xx belonging to:

    Tap an option to check your answer.

  3. Question 3

    Sequences and Series. Asked once: 31 Jan 2023 (same type asked 5 times) See all 5 of this type

    180
    The sum 12−2⋅32+3⋅52−4⋅72+5⋅92−⋯+15⋅2921^{2}- 2 \cdot3^{2}+ 3 \cdot5^{2}- 4 \cdot7^{2}+ 5 \cdot9^{2}- \cdots + 15 \cdot29^{2} is

  4. Question 4

    Definite Integration. Asked once: 2021 Paper 7 (same type asked 5 times) See all 5 of this type

    87
    If [.] represents the greatest integer function, then the value of ∣∫0π2[[x2]−cos⁡x]dx∣\left| \int_{0}^{\sqrt{\frac{\pi}{2}}} \left\lbrack \left\lbrack x^{2} \right\rbrack- \cos x \right\rbrack dx \right| is

  5. Question 5

    Probability. Asked once: 2021 Paper 24 (same type asked 5 times) See all 5 of this type

    81
    Let XX be a random variable with distribution.
    xx−2-2−1-1346
    P(X=x)P(X=x)15\frac{1}{5}aa13\frac{1}{3}15\frac{1}{5}bb
    If the mean of XX is 2.3 and variance of XX is σ2\sigma^{2}, then 100σ2100\sigma^{2} is equal to: