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Let R be the set of real numbers and * be the binary operation defined on R as a * b = a + b – ab ∀ a, b ∈ R. Then, the identity element with respect to the binary operation * is ______. - Mathematics

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Question

Let R be the set of real numbers and * be the binary operation defined on R as a * b = a + b – ab ∀ a, b ∈ R. Then, the identity element with respect to the binary operation * is ______.

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Solution

Let R be the set of real numbers and * be the binary operation defined on R as a * b = a + b – ab ∀ a, b ∈ R. Then, the identity element with respect to the binary operation * is 0 is the identity element with respect to the binary operation *.

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Chapter 1: Relations And Functions - Solved Examples [Page 10]

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NCERT Exemplar Mathematics [English] Class 12
Chapter 1 Relations And Functions
Solved Examples | Q 29 | Page 10
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