PYQ Vault
EbooksTutor

Day 259: JEE Mains Maths

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

  1. Question 1

    Differential Equations. Asked once: 29 Jan 2024 (same type asked 4 times) See all 4 of this type

    86
    If the solution curve y=y(x)y = y(x) of the differential equation (1+y2)(1+log⁡ex)dx+xdy=0,x>0\left( 1 +y^{2} \right)\left( 1 +\log_{e}x \right)dx + xdy = 0,x > 0 passes through the point (1,1)(1,1) and y(e)=α−tan⁡(32)β+tan⁡(32)y(e) =\frac{\alpha - \tan\left( \frac{3}{2} \right)}{\beta + \tan\left( \frac{3}{2} \right)}, then α+2β\alpha + 2\beta is

  2. Question 2

    Differentiation. Asked once: 2021 Paper 21 (same type asked 4 times) See all 4 of this type

    75
    If y(x)=cot⁡−1(1+sin⁡x+1−sin⁡x1+sin⁡x−1−sin⁡x),x∈(π2,π)y(x) =\cot^{- 1}\left( \frac{\sqrt{1 + \sin x}+\sqrt{1 - \sin x}}{\sqrt{1 + \sin x}-\sqrt{1 - \sin x}} \right),x\in\left( \frac{\pi}{2},\pi \right), then dydx\frac{dy}{dx} at x=5π6x=\frac{5\pi}{6} is:

    Tap an option to check your answer.

  3. Question 3

    Permutations and Combinations. Asked once: 22 Jan 2025 (same type asked 4 times) See all 4 of this type

    127
    In a group of 3 girls and 4 boys, there are two boys B1B_{1} and B2B_{2}. The number of ways, in which these girls and boys can stand in a queue such that all the girls stand together, all the boys stand together, but B1B_{1} and B2B_{2} are not adjacent to each other, is :

    Tap an option to check your answer.

  4. Question 4

    Relations and Functions. Asked once: 8 Apr 2023 (same type asked 4 times) See all 4 of this type

    179
    Let R={a,b,c,d,e}\mathbf{R = \{ a,b,c,d,e\}} and S={1,2,3,4}\mathbf{S = \{ 1,2,3,4\}}. Total number of onto function f:R→Sf:R \rightarrow S such that f(a)≠f(a) \neq 1 , is equal to

  5. Question 5

    Statistics. Asked once: 1 Feb 2024 (same type asked 4 times) See all 4 of this type

    67
    Let the median and the mean deviation about the median of 7 observation 170,125,230,190,210170,125,230,190,210, a, b be 170 and 2057\frac{205}{7} respectively. Then the mean deviation about the mean of these 7 observations is:

    Tap an option to check your answer.