Question 2, 3, 4, 5 of Exercise 1.1, Class 12 Math

Exercise 1.1, Class 12 Maths

Question 2.

Show that the relation R in the set R of real numbers, defined as R = {(a, b) : a ≤ b²} is neither reflexive nor symmetric nor transitive.

Question 3.

Check whether the relation R defined in the set {1, 2, 3, 4, 5, 6} as R = {(a, b) : b = a + 1} is reflexive, symmetric or transitive.

Question 4.

Show that the relation R in R defined as R = {(a, b) : a ≤ b²}  is reflexive and transitive, but not symmetric.

Question 5.

Check whether the relation R in R defined by R = {(a, b) : a ≤ b³} is reflexive, symmetric or transitive.