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Day 353: JEE Mains Maths

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

  1. Question 1

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

    70
    The area bounded by the curve y=∣x2−9∣y=\left| x^{2}- 9 \right| and the line y=3y = 3 is :

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  2. Question 2

    Determinants. Asked once: 2021 Paper 3 (same type asked 5 times) See all 5 of this type

    87
    If the system of equations
    kx+y+2z=13x−y−2z=2 −2x−2y−4z=3\begin{matrix} & kx+y+ 2z= 1 \\ & 3x-y- 2z= 2 \\ & \ - 2x- 2y- 4z= 3 \end{matrix}
    has infinitely many solutions, then kk is equal to

  3. Question 3

    Quadratic Equations. Asked once: 2021 Paper 3 (same type asked 5 times) See all 5 of this type

    68
    The integer ' kk ', for which the inequality x2−2(3k−1)x+8k2−7>0x^{2}- 2(3k- 1)x+ 8k^{2}- 7 > 0 is valid for every xx in RR is:

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  4. Question 4

    Complex Numbers. Asked once: 2021 Paper 7 (same type asked 5 times) See all 5 of this type

    73
    The area of the triangle with vertices A(z),B(iz)A(z),B(iz) and C(z+iz)C(z + iz) is :

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  5. Question 5

    Relations and Functions. Asked once: 2021 Paper 4 (same type asked 5 times) See all 5 of this type

    74
    A function f(x)f(x) is given by f(x)=5x5x+5f(x) =\frac{5^{x}}{5^{x}+ 5}, then the sum of the series f(120)+f(220)+f(320)+……+f(3920)f\left( \frac{1}{20} \right)+f\left( \frac{2}{20} \right)+f\left( \frac{3}{20} \right)+ \ldots\ldots +f\left( \frac{39}{20} \right) is equal to:

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