Let W denote the words in the English dictionary. Define the relation R by R=\(x, y) W × W the words x and y have at least one letter in common. Then, R is

(A) reflexive, symmetric and not transitive

(B) reflexive, symmetric and transitive

(C) reflexive, not symmetric and transitive

(D) not reflexive, symmetric and transitive

Sets, Relations and Functions: JEE Main 2006 Mathematics question

JEE Main 2006 · Annual, Paper 1 · Q5369

JEE Main 2006Annual, Paper 1MathematicsMediumSets, Relations and Functions168× since 2002

Let

W

denote the words in the English dictionary. Define the relation

R

R=\{(x, y) \in W \times W \mid

the words

x

and

y

have at least one letter in common}. Then,

R

JEE Main 2006 · Annual, Paper 1 · Q5369

JEE Main 2006Annual, Paper 1MathematicsMediumSets, Relations and Functions168× since 2002

Let

W

denote the words in the English dictionary. Define the relation

R

R=\{(x, y) \in W \times W \mid

the words

x

and

y

have at least one letter in common}. Then,

R