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Day 344: JEE Mains Maths

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

  1. Question 1

    Probability. Asked once: 2021 Paper 10 (same type asked 7 times) See all 7 of this type

    74
    Let in a Binomial distribution, consisting of 5 independent trials, probabilities of exactly 1 and 2 successes be 0.4096 and 0.2048 respectively. Then the probability of getting exactly 3 successes is equal to:

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  2. Question 2

    Binomial Theorem. Asked once: 29 Jan 2024 (same type asked 6 times) See all 6 of this type

    89
    If  11C12+ 11C23+…..+ 11C910=nm\frac{\ ^{11}C_{1}}{2}+\frac{\ ^{11}C_{2}}{3}+ \ldots.. +\frac{\ ^{11}C_{9}}{10}=\frac{n}{m} with gcd(n,m)=1gcd(n,m) = 1, then n+mn + m is equal to

  3. Question 3

    Binomial Theorem. Asked once: 1 Feb 2023 (same type asked 6 times) See all 6 of this type

    172
    If the term without xx in the expansion of (x23+ax3)22\left( x^{\frac{2}{3}}+\frac{a}{x^{3}} \right)^{22} is 7315, then ∣a∣|a| is equal to

  4. Question 4

    Differentiation. Asked once: 2021 Paper 22 (same type asked 6 times) See all 6 of this type

    67
    The function f(x)=∣x2−2x−3∣⋅e∣9x2−12x+4∣f(x)=\left|x^{2}-2x-3\right|\cdot e^{\left|9x^{2}-12x+4\right|} is not differentiable at exactly:

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  5. Question 5

    Differentiation. Asked once: 26 Jun 2022 (same type asked 6 times) See all 6 of this type

    155
    Let f(x)=min⁡{1,1+xsin⁡x},0≤x≤2πf(x) = \min\{ 1,1 + x\sin x\},0 \leq x \leq 2\pi. If mm is the number of points, where ff is not differentiable and nn is the number of points, where ff is not continuous, then the ordered pair (m,n)(m,n) is equal to

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