eduhilfe Latest Questions
(i) a * b = a–b (ii) a * b = (iii) a * b = a + ab (iv) a * b =
Relation R in the set N of natural numbers defined as R = {(x, y) : y = x + 5 and x < 4}
Hint : Consider and
(i) R = {(a, b) :|a–b| is a multiple of 4} (ii) R = {(a, b) : a = b} is an equivalence relation. Find the set of all elements related to 1 in each case.
(A) (B) (C) x (D)
Relation R in the set A = {1, 2, 3, 4, 5, 6} as R = {(x, y) : y is divisible by x}
(i) f (x) = | x | and g(x) = | 5x – 2 | (ii) f(x) = 8 and g(x)=
(i) Symmetric but neither reflexive nor transitive. (ii) Transitive but neither reflexive nor symmetric. (iii) Reflexive and symmetric but not transitive. (iv) Reflexive and transitive but not symmetric. (v) Symmetric and transitive but not reflexive.
(A) g(y) = (B) g(y) = (C) g(y) =
(A) 10 (B) 16 (C) 20 (D ) 8
is neither one-one nor onto.