JEE Main questions
34495 published questions with worked solutions.
- R is a relation from 11,12,13 to 8,10,12 defined by y=x-3. Then, R^ -1 is
- Let a relation R on the set N of natural numbers be defined as (x,y) R x^2-4xy+3y^2=0, ,x,y N. The relation R is
- Consider the following relations: R= (x,y) x,y are real numbers and x=wy for some rational number w ; S= ( m n , p q ) , | ,...
- The relation defined on R by x ,R ,y x^2=xy is
- Let R and S be two non-void relations on a set A. Which of the following statements is false?
- Let R= (1,3),(4,2),(2,4),(2,3),(3,1) be a relation on the set A= 1,2,3,4 . The relation R is
- Let R= (3,3),(6,6),(9,9),(12,12),(6,12),(3,9),(3,12),(3,6) be a relation on the set A= 3,6,9,12 . The relation is
- The relation R defined on the set of natural numbers as (a,b):a-b=3 is given by
- Let S be the set of all real numbers. Then, the relation R= (a,b):1+ab>0 on S is
- A function f from the set of natural numbers to integers defined by f(n)= cases n-1 2 , & when n is odd - n 2 , & when n is even...
- Let A=[-1,1] and f:A A be defined as f(x)=x|x| for all x A, then f(x) is
- If f:R C is defined by f(x)=e^ 2ix for x R, then f is (where C denotes the set of all complex numbers)
- If R denotes the set of all real numbers, then the function f:R R defined by f(x)=|x| is
- Let n(A)=4 and n(B)=6. The number of one-one functions from A to B is
- A= 1,2,3,4 and B= 1,2,3,4,5,6 are two sets, and the function f:A B is defined by f(x)=x+2 x A, then the function f is
- Let A be a set containing 10 distinct elements, then the total number of distinct functions from A to A is
- The function f:R R defined by f(x)=(x-1)(x-2)(x-3) is
- Let A=R- 3 , B=R- 1 . Let f:A B be defined by f(x)= x-2 x-3 . Then,
- A mapping f:N N, where N is the set of natural numbers, is defined as f(n)= cases n^2, & n odd 2n+1, & n even cases for n N....
- Which of the following functions is one-to-one?