JEE Main questions
34495 published questions with worked solutions.
- Let [.] denote the greatest integer function. Then _ - /2 ^ /2 ( 12(3+[x]) 3+[ x]+[ x] )dx is equal to:
- Let y=y(x) be the solution of the differential equation x dy dx -y=x^2 x, x (0, ). If y ( 2 )= 2 , then 6y ( 6 )-8y ( 4 ) is...
- The sum of all the elements in the range of f(x)= Sgn ( x)+ Sgn ( x)+ Sgn ( x)+ Sgn ( x), x n 2 , n Z, where Sgn (t)= cases 1, &...
- Let A= z C: |z-2| 4 and B= z C: |z-2|+|z+2|=5 . Then the max |z_1-z_2|: z_1 A and z_2 B is
- Let f(x)= dx x^ (2/3) +2x^ (1/2) be such that f(0)=-26+24 _e(2). If f(1)=a+b _e(3), where a,b Z, then a+b is equal to:
- 6 3^ 26 + 10.1 3^ 25 + 10.2 3^ 24 + 10.2^2 3^ 23 + + 10.2^ 24 3 is equal to
- Three persons enter in a lift at the ground floor. The lift will go upto the 10^ th floor. The number of ways, in which the three...
- Let f be a differentiable function satisfying f(x)=1-2x+ _0^x e^ (x-t) f(t)dt, x R and let g(x)= _0^x (f(t)+2)^ 15 (t-4)^6(t+12)^...
- If the distance of the point P(43, , ), <0, from the line r =4 i - k + (2 i +3 k ), R along a line with direction ratios 3,-1,0...
- Let A= bmatrix 3 & -4 1 & -1 bmatrix and B be two matrices such that A^ 100 =100B+I. Then the sum of all the elements of B^ 100...
- A nucleus has mass number and radius R_ . Another nucleus has mass number and radius R_ . If = 8 then R_ /R_ is :
- A plane electromagnetic wave is moving in free space with velocity c = 3 10^8 m/s and its electric field is given as E =54 (kz-...
- The mean free path of a molecule of diameter 5 10^ -10 m at the temperature 41°C and pressure 1.38 10^5 Pa, is given as ____ m....
- In an experiment, a set of reading are obtained –1.24 mm, 1.25 mm, 1.23 mm, 1.21 mm. The expected least count of the instrument...
- A particle starts moving from time t = 0 and its coordinate is given as x(t) = 4t³– 3t.. A. The particle returns to its original...
- The speed of a longitudinal wave in a metallic bar is 400 m/s. If the density and Young's modulus of the bar material are...
- Identify the correct statements : A. Effective capacitance of a series combination of capacitors is always smaller than the...
- When the position vector r =x i +y j +z k changes sign as - r , which one of the following vector will not flip under sign change...
- Which one of the following is not a measurable quantity?
- A long cylindrical conductor with large cross section carries an electric current distributed uniformly over its cross-section....