JEE Main questions
34495 published questions with worked solutions.
- Let f( )= ( + 3 ). Then f( ) is
- Let f(x)=x^2 and g(x)= x for all x R. Then the set of all x satisfying (f g g f)(x)=(g g f)(x), where (f g)(x)=f(g(x)), isNot in JEE Main syllabus
- The function f:[0,3] [1,29] defined by f(x)=2x^3-15x^2+36x+1 is
- Let the function f:R R be defined by f(x)=2x+ x for x R. Then f is
- Suppose f(x)=(x+1)^2 for x -1. If g(x) is the function whose graph is the reflection of the graph of f(x) with respect to the...
- If f:[1, ) [2, ) is given by f(x)=x+ 1x, then f^ -1 (x) equals
- How many real solutions does the equation 2 x=x^2-x + ^2+8 4 have?Not in JEE Main syllabus
- If ^2 =2 ^2 +1, then find the value of 2 + ^2 .
- Find the minimum value of k= ^6x+ ^6x.
- The greatest and the least values of x in (0, ) that satisfy x 4x= x are x_1 and x_2 respectively, such that x_1+x_2= m 8 . Find...Not in JEE Main syllabus
- Consider the equation _ 2 x (1+ x)=2, x [- 2 , 3 2 ]. If the sum of the roots is p q , where (p,q)=1, then evaluate p^2+q^2.
- If x+ y= 34 and x+ y=- 14, then evaluate (x+y).
- Let f( )= 1 ^2 + 13 +7 ^2 . If m and M represent the minimum and maximum values of f( ), then evaluate 30m-M.
- For a positive integer n, f_n(x)= ( x 2 )(1+ x)(1+ 2x)(1+ 4x) (1+ 2^nx). Evaluate f_2 ( 16 )+f_3 ( 32 )+f_4 ( 64 ).
- If 0<x_1<x_2< satisfy 1+ x+ ^2x+ =4+2 3, find |[x_1-x_2]|, where [ ] represents the greatest integer function.Not in JEE Main syllabus
- Consider the equation 3^ x +3^ x =2 3^ -1/ 2 , x (0,2 ), and let x denote the least integer x. Find of the roots of the equation .Not in JEE Main syllabus
- Evaluate | 2 7 4 7 + 4 7 8 7 + 8 7 2 7 |.
- If x+y+z= , x z=3 and z y=15, find ^2z.
- Evaluate 8 36^ 72^ 108^ 144^ .
- If 30( ^2x- ^2x)+7 2x+20=0, then evaluate 2 2x-1.