A binary operation `**` is defined on the set R of real numbers by `a**b={ a, if b = 0, |a|+b,

3,106 views · Published 13 October 2018 · 4:18 · Indexed 2 October 2026

Channel: Doubtnut · 2018 · Education

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To ask Unlimited Maths doubts download Doubtnut from - https://goo.gl/9WZjCW A binary operation `**` is defined on the set R of real numbers by `a**b={ a, if b = 0, |a|+b,if b!=0` If atleast one of a and b is 0, then prove that `a**b = b**a`. Check whether `**` is commutative. Find the identity element for `**` ,if it exists

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