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Day 200: JEE Mains Maths

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

  1. Question 1

    Definite Integration. Asked once: 26 Jul 2022 (same type asked 2 times) See all 2 of this type

    159
     ∫020π(∣sin⁡x∣+∣cos⁡x∣)2dx\ \int_{0}^{20\pi} (|\sin x| + |\cos x|)^{2}dx is equal to:

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  2. Question 2

    Indefinite Integration. Asked once: 25 Jan 2023 (same type asked 2 times) See all 2 of this type

    71
    Let f(x)=∫2x(x2+1)(x2+3)dxf(x) = \int\frac{2x}{\left( x^{2}+ 1 \right)\left( x^{2}+ 3 \right)}dx. If f(3)=12(log⁡e5−log⁡e6)f(3) =\frac{1}{2}\left( \log_{e}5 -\log_{e}6 \right), then f(4)f(4) is equal to

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  3. Question 3

    Binomial Theorem. Asked once: 27 Jan 2024 (same type asked 2 times) See all 2 of this type

    61
     n−1Cr=(k2−8) nCr+1\ ^{n- 1}C_{r}=\left( k^{2}- 8 \right)\ ^{n}C_{r+ 1} if and only if:

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  4. Question 4

    Matrices. Asked once: 21 Jan 2026 S1 (same type asked 2 times) See all 2 of this type

    74
    For some α,β∈R\alpha,\beta \in R, let A=[α212]A = \begin{bmatrix} \alpha & 2 \\ 1 & 2 \end{bmatrix} and B=[111β]B = \begin{bmatrix} 1 & 1 \\ 1 & \beta \end{bmatrix} be such that A2−4A+2I=B2−3B+I=OA^{2} - 4A + 2I = B^{2} - 3B + I = O. Then (det⁡(adj(A3−B3)))2\left( \det\left( adj\left( A^{3} - B^{3} \right) \right) \right)^{2} is equal to ____\_\_\_\_

  5. Question 5

    Straight Lines. Asked once: 2021 Paper 24 (same type asked 2 times) See all 2 of this type

    84
    Let the points of intersection of the lines x−y+1=0x-y+ 1 = 0, x−2y+3=0x- 2y+ 3 = 0 and 2x−5y+11=02x- 5y+ 11 = 0 be the mid points of the sides of a triangle ABCABC. Then the area of the triangle ABCABC is