PYQ Vault
EbooksTutor

Day 630: JEE Mains Maths

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

  1. Question 1

    Definite Integration. Asked once: 26 Jun 2022

    177
    The integral 24π∫02(2−x2)dx(2+x2)4+x4\frac{24}{\pi}\int_{0}^{\sqrt{2}} \frac{\left( 2 -x^{2} \right)dx}{\left( 2 +x^{2} \right)\sqrt{4 +x^{4}}} is equal to

  2. Question 2

    Sequences and Series. Asked once: 2021 Paper 18

    68
    The sum of the series 1x+1+2x2+1+22x4+1+…..+2100x2100+1\frac{1}{x+ 1}+\frac{2}{x^{2}+ 1}+\frac{2^{2}}{x^{4}+ 1}+ \ldots.. +\frac{2^{100}}{x^{2^{100}}+ 1} when x=2x= 2 is :

    Tap an option to check your answer.

  3. Question 3

    Conic Sections. Asked once: 10 Apr 2023

    66
    A line segment ABAB of length λ\lambda moves such that the points AA and BB remain on the periphery of a circle of radius λ\lambda. Then the locus of the point, that divides the line segment ABAB in the ratio 2:32:3, is a circle of radius

    Tap an option to check your answer.

  4. Question 4

    Definite Integration. Asked once: 26 Jun 2022

    84
    Let f(x)=max{∣x+1∣,∣x+2∣,…,∣x+5∣}f(x\mathbf{) = max\{|}x+ 1|,|x+ 2|,\ldots,|x+ 5|\}. Then ∫−60f(x)dx\int_{- 6}^{0} f(x)dx is equal to

  5. Question 5

    Sequences and Series. Asked once: 2021 Paper 15

    55
    Find the value of ∑n=8100[(−1)nn2]\sum_{n= 8}^{100} \left\lbrack \frac{( - 1)^{n}n}{2} \right\rbrack where [x]\lbrack x\rbrack greatest integer function nn.