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Day 526: JEE Mains Maths

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

  1. Question 1

    Application of Integrals. Asked once: 5 Apr 2024

    154
    The area enclosed between the curves y=x∣x∣y=x|x| and y=x−∣x∣y=x- |x| is:

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  2. Question 2

    Binomial Theorem. Asked once: 31 Jan 2023

    173
    If the constant term in the binomial expansion of (x522−4xl)9\left( \frac{x^{\frac{5}{2}}}{2}-\frac{4}{x^{l}} \right)^{9} is -84 and the coefficient of x−3lx^{- 3l} is 2αβ2^{\alpha}\beta, where β<0\beta < 0 is an odd number, then ∣αl−β∣|\alpha l - \beta| is equal to

  3. Question 3

    Complex Numbers. Asked once: 27 Jan 2024

    180
    Let the complex numbers α\alpha and 1αˉ\frac{1}{\bar{\alpha}} lie on the circles ∣z−z0∣2=4\left| z -z_{0} \right|^{2}= 4 and ∣z−z0∣2=16\left| z -z_{0} \right|^{2}= 16 respectively, where z0=1+iz_{0}= 1 + i. Then, the value of 100∣α∣2100|\alpha|^{2} is.....

  4. Question 4

    Conic Sections. Asked once: 23 Jan 2026 S2

    58
    If the points of intersection of the ellipses x2+2y2−6x−12y+23=0x^{2}+ 2y^{2}- 6x - 12y + 23 = 0 and 4x2+2y2−20x−12y+35=04x^{2}+ 2y^{2}- 20x - 12y + 35 = 0 lie on a circle of radius rr and centre (a,b)(a,b), then the value of ab+18r2ab + 18r^{2} is

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  5. Question 5

    Definite Integration. Asked once: 29 Jan 2025

    143
    Let f(x)=∫0xt(t2−9t+20)dt, 1≤x≤5f(x) =\int_{0}^{x} t\left( t^{2}- 9t + 20 \right)dt,\ 1 \leq x \leq 5. If the range of ff is [α,β]\lbrack\alpha,\beta\rbrack, then 4(α+β)4(\alpha + \beta) equals:

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