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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 - Mathematics

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

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

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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?
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APPEARS IN

NCERT Class 12 Maths
Chapter 1 Relations and Functions
Q 12.2 | Page 26
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