Ex 1.4, 12 - Chapter 1 Class 12 Relation and Functions
Last updated at April 16, 2024 by Teachoo
Binary Operations
Ex 1.4 ,1 (ii) Important
Ex 1.4 ,1 (iii)
Ex 1.4 ,1 (iv) Important
Ex 1.4 ,1 (v)
Ex 1.4, 2 (i) Important
Ex 1.4, 2 (ii)
Ex 1.4, 2 (iii)
Ex 1.4, 2 (iv) Important
Ex 1.4, 2 (v)
Ex 1.4, 2 (vi) Important
Ex 1.4, 3
Ex 1.4, 4
Ex 1.4, 5
Ex 1.4, 6 Important
Ex 1.4, 7
Ex 1.4, 8
Ex 1.4, 9 (i)
Ex 1.4, 9 (ii)
Ex 1.4, 9 (iii)
Ex 1.4, 9 (iv) Important
Ex 1.4, 9 (v) Important
Ex 1.4, 9 (vi)
Ex 1.4, 10
Ex 1.4, 11 Important
Ex 1.4, 12 You are here
Ex 1.4, 13 (MCQ) Important
Binary Operations
Last updated at April 16, 2024 by Teachoo
Ex 1.4, 12 State whether the following statements are true or false. Justify. (i) For an arbitrary binary operation * on a set N, a * a = a a * N. Let us define * a * b = a + b Calculating a * a Let a = b = 2 So, a * a = 2 * 2 = 2 + 2 = 4 2 So, a * a a Therefore, statement is false. Ex 1.4, 12 State whether the following statements are true or false. Justify. (ii) If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a It is given that * is a commutative binary operation We need to check if a * (b * c) = (c * b) * a Solving R.H.S (c * b) * a = (b * c) * a = a * (b * c) = L.H.S. a * (b * c) = (c * b) * a Thus, statement is true.