Ex 1.4, 2 (iv) - Chapter 1 Class 12 Relation and Functions
Last updated at Dec. 16, 2024 by Teachoo
Binary Operations
Ex 1.4 ,1 (i)
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Chapter 1 Class 12 Relation and Functions
Serial order wise
- Ex 1.1
- Ex 1.2
- Examples
- Miscellaneous
- Case Based Questions (MCQ)
- Inverse of a function
-
Binary Operations
Transcript
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 )
