Question

An organization conducted a bike race under 2 different categories-boys and girls. Totally there were 250 participants. Among all of them finally, three from Category 1 and two from Category 2 were selected for the final race. Ravi forms two sets B and G with these participants for his college project. Let B = {b₁,b₂,b₃} G={g₁,g₂} where B represents the set of boys selected and G the set of girls who were selected for the final race.

Ravi decides to explore these sets for various types of relations and functions.

• Let R: B → B be defined by R = {(x, y): x and y are students of same sex}, Then this relation R is ____________.

विकल्प

• Equivalence

• Reflexive only

• Reflexive and symmetric but not transitive

• Reflexive and transitive but not symmetric

Answer 1

Let R: B → B be defined by R = {(x, y): x and y are students of the same sex}, Then this relation R is Equivalence.