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Day 302: JEE Mains Maths

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

  1. Question 1

    Differential Equations. Asked once: 2021 Paper 2 (same type asked 7 times) See all 7 of this type

    78
    If a curve y=f(x)y=f(x) passes through the point (1,2)(1,2) and satisfies xdy dx+y=bx4x\frac{dy}{\text{ }dx}+y= bx^{4}, then for what value of b,∫12f(x)dx=625?b,\int_{1}^{2} f(x)dx=\frac{62}{5}?

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  2. Question 2

    Probability. Asked once: 5 Apr 2024 (same type asked 7 times) See all 7 of this type

    81
    From a lot of 10 items, which include 3 defective items, a sample of 5 items is drawn at random. Let the random variable XX denote the number of defective items in the sample. If the variance of XX is σ2\sigma^{2}, then 96σ296\sigma^{2} is equal to

  3. Question 3

    Quadratic Equations. Asked once: 26 Jul 2022 (same type asked 7 times) See all 7 of this type

    151
    The minimum value of the sum of the squares of the roots of x2+(3−a)x+1=2ax^{2}+ (3 -a)x+ 1 = 2a is:

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  4. Question 4

    Binomial Theorem. Asked once: 26 Jul 2022 (same type asked 7 times) See all 7 of this type

    154
     ∑i,j=0i≠jn nCi nCj\ \sum_{\begin{matrix} i,j = 0 \\ i \neq j \end{matrix}}^{n} \ ^{n}C_{i}\ ^{n}C_{j} is equal to

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  5. Question 5

    Application of Derivatives. Asked once: 27 Jun 2022 (same type asked 7 times) See all 7 of this type

    66
    The number of distinct real roots of x4−4x+1=0x^{4}- 4x + 1 = 0 is:

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