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Day 314: JEE Mains Maths

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

  1. Question 1

    Application of Integrals. Asked once: 26 Jul 2022 (same type asked 5 times) See all 5 of this type

    170
    The area bounded by the curves y=∣x2−1∣y =\left| x^{2}- 1 \right| and y=1y = 1 is

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  2. Question 2

    Determinants. Asked once: 2021 Paper 12 (same type asked 5 times) See all 5 of this type

    56
    The value of k∈Rk\in R, for which the following system of linear equations 3x−y+4z=33x - y + 4z = 3, x+2y−3z=−2x+ 2y- 3z= - 2, 6x+5y+kz=−36x+ 5y+kz= - 3, has infinitely many solutions, is:

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  3. Question 3

    Quadratic Equations. Asked once: 2021 Paper 18 (same type asked 5 times) See all 5 of this type

    82
    The sum of all integral values of k(k≠0)k(k\neq 0) for which the equation 2x−1−1x−2=2k\frac{2}{x- 1}-\frac{1}{x- 2}=\frac{2}{k} in xx has no real roots, is

  4. Question 4

    Complex Numbers. Asked once: 2021 Paper 10 (same type asked 5 times) See all 5 of this type

    70
    Let a complex number be w=1−3iw = 1 -\sqrt{3}i. Let another complex number zz be such that ∣zw∣=1|zw| = 1 and arg(z)−arg(w)=π2arg(z) - arg(w) =\frac{\pi}{2}. Then the area of the triangle with vertices origin, zz and ww is equal to:

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  5. Question 5

    Relations and Functions. Asked once: 27 Jun 2022 (same type asked 5 times) See all 5 of this type

    81
    Let f:R→Rf:R\rightarrow R be a function defined f(x)=2e2xe2x+ef(x) =\frac{2e^{2x}}{e^{2x}+e}. Then f(1100)+f(2100)+f(3100)+…..+f(99100)f\left( \frac{1}{100} \right)+f\left( \frac{2}{100} \right)+f\left( \frac{3}{100} \right)+ \ldots.. +f\left( \frac{99}{100} \right) is equal to