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Day 339: JEE Mains Maths

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

  1. Question 1

    Statistics. Asked once: 30 Jan 2023 (same type asked 8 times) See all 8 of this type

    157
    Let SS be the set of all values of a1a_{1} for which the mean deviation about the mean of 100 consecutive positive integers a1,a2,a3,….a100a_{1},a_{2},a_{3},\ldots.a_{100} is 25. Then SS is

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  2. Question 2

    Conic Sections. Asked once: 23 Jan 2025 (same type asked 8 times) See all 8 of this type

    140
    The length of the chord of the ellipse x24+y22=1\frac{x^{2}}{4}+\frac{y^{2}}{2}= 1 whose mid-point is (1,12)\left( 1,\frac{1}{2} \right), is:

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  3. Question 3

    Limits and Continuity. Asked once: 23 Jan 2025 (same type asked 8 times) See all 8 of this type

    145
    lim⁡x→∞(2x2−3x+5)(3x−1)x2(3x2+5x+4)(3x+2)x\lim_{x \rightarrow \infty} \frac{\left( 2x^{2}- 3x + 5 \right)(3x - 1)^{\frac{x}{2}}}{\left( 3x^{2}+ 5x + 4 \right)\sqrt{(3x + 2)^{x}}} is equal to:

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  4. Question 4

    Binomial Theorem. Asked once: 2021 Paper 10 (same type asked 8 times) See all 8 of this type

    88
    Let  nCr\,^{n}C_{r} denote the binomial coefficient of xrx^{r} in the expansion of (1+x)n(1 + x)^{n}. If ∑k=010(22+3k) 10Ck=α⋅310+β⋅210, α,β∈R\sum_{k = 0}^{10} \left( 2^{2}+ 3k \right)\,^{10}C_{k} = \alpha\cdot 3^{10}+\beta\cdot 2^{10},\ \alpha,\beta\in R, then α+β\alpha+\beta is equal to

  5. Question 5

    Quadratic Equations. Asked once: 6 Apr 2024 (same type asked 8 times) See all 8 of this type

    71
    Let, α,β\alpha,\beta be the distinct roots of the equation x2−(t2−5t+6)x+1=0,t∈Rx^{2}-\left( t^{2}- 5t + 6 \right)x + 1 = 0,t \in R and an=αn+βna_{n}=\alpha^{n}+\beta^{n}. Then the minimum value of a2023+a2025a2024\frac{a_{2023}+a_{2025}}{a_{2024}} is

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