PYQ Vault
EbooksTutor

Day 312: JEE Mains Maths

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

  1. Question 1

    Definite Integration. Asked once: 14 Jun 2022 (same type asked 5 times) See all 5 of this type

    86
    Let f(θ)=sin⁡θ+∫−π/2π/2(sin⁡θ+tcosθ)f(t)dtf(\theta) = \sin\theta+\int_{-\pi/2}^{\pi/2} (\sin\theta+tcos\theta)f(t)dt. Then the value of ∣∫0π/2f(θ)dθ∣\left| \int_{0}^{\pi/2} f(\theta)d\theta \right| is

  2. Question 2

    Relations and Functions. Asked once: 29 Jul 2022 (same type asked 5 times) See all 5 of this type

    169
    The domain of the function f(x)=sin⁡−1(x2−3x+2x2+2x+7)f(x) =\sin^{- 1}\left( \frac{x^{2}- 3x + 2}{x^{2}+ 2x + 7} \right) is :

    Tap an option to check your answer.

  3. Question 3

    Probability. Asked once: 6 Apr 2023 (same type asked 5 times) See all 5 of this type

    62
    A pair of dice is thrown 5 times. For each throw, a total of 5 is considered a success. If the probability of at least 4 successes is k311\frac{k}{3^{11}}, then kk is equal to

    Tap an option to check your answer.

  4. Question 4

    Complex Numbers. Asked once: 2021 Paper 2 (same type asked 5 times) See all 5 of this type

    86
    Let i=−1i=\sqrt{- 1}. If (−1+i3)21(1−i)24+(1+i3)21(1+i)24=k\frac{( - 1 +i\sqrt{3})^{21}}{(1 -i)^{24}}+\frac{(1 +i\sqrt{3})^{21}}{(1 +i)^{24}}=k, and n=[∣k∣]n = \lbrack|k|\rbrack be the greatest integral part of ∣k∣|k|. Then ∑j=0n+5(j+5)2−∑j=0n+5(j+5)\sum_{j= 0}^{n+ 5} (j+ 5)^{2}-\sum_{j= 0}^{n+ 5} (j+ 5) is equal to

  5. Question 5

    Complex Numbers. Asked once: 29 Jun 2022 (same type asked 5 times) See all 5 of this type

    151
    Let α\alpha be a root of the equation 1+x2+x4=01 +x^{2}+x^{4}= 0. Then the value of α1011+α2022−α3033\alpha^{1011}+\alpha^{2022}-\alpha^{3033} is equal to:

    Tap an option to check your answer.