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State Whether the Following Statements Are True Or False. Justify. If * is a Commutative Binary Operation On N, Then A * (B * C) = (C * B) * A - CBSE (Science) Class 12 - Mathematics

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Question

State whether the following statements are true or false. Justify.

If * is a commutative binary operation on N, then * (c) = (b) * a

Solution

R.H.S. = (* b) * a

= (* c) * a [* is commutative]

a * (* c) [Again, as * is commutative]

= L.H.S.

∴ a * (* c) = (* b) * a

Therefore, statement (ii) is true.

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 12 (2018 to Current)
Chapter 1: Relations and Functions
Q: 12.2 | Page no. 26
Solution State Whether the Following Statements Are True Or False. Justify. If * is a Commutative Binary Operation On N, Then A * (B * C) = (C * B) * A Concept: Concept of Binary Operations.
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