MEDIUM
JEE Main/Advance
IMPORTANT
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Number of relations that can be defined on the set A=a,b,c is

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Important Questions on Relations and Functions

MEDIUM
JEE Main/Advance
IMPORTANT
If A and B are two sets such that A×B=ϕ, then which of the following must be true?
MEDIUM
JEE Main/Advance
IMPORTANT
If A=-1,1, then A×A×A is equal to
MEDIUM
JEE Main/Advance
IMPORTANT
If A=x1,y1,z1 and B=x2,y2, then the number of relations from A to B is
MEDIUM
JEE Main/Advance
IMPORTANT
Let A=2,3,5,B10,12,15,then which of the following is a function from A to B?
EASY
JEE Main/Advance
IMPORTANT
Let, nA=m and nB=n. Then, the total number of non-empty relations that can be defined from A to B is
EASY
JEE Main/Advance
IMPORTANT
If fx is an identity function, then f5 is equal to
EASY
JEE Main/Advance
IMPORTANT
If fx and gx are polynomial functions of x, then domain of fxgx is
EASY
JEE Main/Advance
IMPORTANT
Which of the following can represent a linear function for each xR?