Ex 1.4, 2 (iv) - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Last updated at Dec. 16, 2024 by Teachoo
Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (iv) On Z+, define a * b = 2^ππ Check commutative * is commutative if a * b = b * a Since a * b = b * a β a, b, c β Z+ * is commutative a * b = 2^ππ b * a = 2^ππ = 2^ππ Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c β a * (b * c) * is not an associative binary operation (a * b)* c = (2^ππ) * c = 2^(2^ππ π) a * (b * c) = a * (2^ππ) = 2^(π2^ππ )
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 You are here
Ex 1.4, 2 (v)
Ex 1.4, 2 (vi) Important
Ex 1.4, 3
Ex 1.4, 4
Ex 1.4, 5
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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)
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Ex 1.4, 12
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