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If R Is A Relation On The Set Of Integers Given By Arb A 2 K B For Some Integer K Then R Is

Solution: (1) aRB => a = 2k .b, k ∈ I Reflexive: (a, a) ∈ R k = 0, a... View Article

Solution: (3) (a, a) ∈ R R is reflexive. (a, b) ∈ R ⇒ a lives within one kilometre from... View Article

Solution: (1) The given relation is R = {(x, y) ∈ W × W : the words x and y... View Article

Solution: (2) Given: a differs from b by 3 a – 3 = b a = b + 3 If... View Article

Solution: (3) A = {a, b, c} R: {(a, a}, (b, b), (c, c), (a, b), (b, a), (a, c),... View Article

Solution: (3) A = {3, 6, 9,12} R = {(3, 3), (6, 6), (9, 9), (12,12), (6, 12), (3, 9),... View Article

Solution: (3) R = {(1,3), (4, 2), (2, 4), (2, 3), (3, 1) A = {1, 2, 3, 4} Reflexive:... View Article

Solution: (2) aRb ⇒ GCD of a and b is 2 Reflexive: (a, a) ∈ R aRa ⇒ GCD (a,... View Article

Solution: (1) R = {y = x – 3} x = 11, y = 8 x = 12, y =... View Article

Solution: (3) Choice 3 satisfies the condition of a given function. Hence, {(1, 3), (2, 3), (3, 3)} is a... View Article

Solution: (4) 4x + 3y = 20 x = 5, y = 0 x = 3, 12 + 3y =... View Article

Solution: (4) R is a relation defined as aRb, iff |a – b| > 0 Reflexive: aRa, iff |a −... View Article

Solution: (1) If x is a real number, x − x = 0 ∈ set of integers I (x, x)... View Article

Solution: (1) x2 – 4xy + 3y2 = 0 (x – y) (x – 3y) = 0 (a, a) ∈... View Article

Solution: (1) a ∈ R a – a + √3 = √3 is an irrational number (a, a) ∈ R... View Article

Solution: (2) Consider A = {a, b, c} R: A → A S: A → A If R and S... View Article

Solution: (4) A = {x, y, z} B = {a, b, c, d} {(z, b), (y, b), (a, d)} is... View Article

Solution: (3) R: x = wy (0, a) ∈ R a = wa w = 1 not equal Given that... View Article

In maths, particularly in algebra, variable is defined as an English alphabet that represents an unknown number. The variable holds... View Article

A function rule is the relationship between the dependent and independent variables in the form of an equation. The function... View Article