Let w denotes the set of words in the English dictionary. Define the relation R by `R = {(x, y) in W xx W}`, the words x and y have at least one letter in common, then R is

Let w denote the words in the english dictionary. Define the relation R by: R = {(x,y) in W xx W | words x and y have at least one letter in common}. Then R is: (1) reflexive, symmetric and not transitive (2) reflexive, symmetric and transitive (3) reflexive, not symmetric and transitive (4) not reflexive, symmetric and transitive

In the relation y = r sin ( omega t - kx) , the dimensions of omega//k are

Let R be a relation in N defined by R={(x, y):2x+y=8} , then range of R is

Let N denotes the set of all natural numbers. Define two binary relations on N as: R_(1) ={(x,y) in N xx N : 2x + y = 10} R_(2) = {(x,y) in N xx N: x + 2y = 10} , Then

Let Q be the set of all rational numbers and R be the relation defined as: R={(x,y) : 1+xy gt 0, x,y in Q} Then relation R is

Let R be a relation on N defined by R={(x,y):2x+y=10}, then domain of R is