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Ex 1.4
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2023 Exams
Ex 1.4 ,1 (iii) Deleted for CBSE Board 2023 Exams
Ex 1.4 ,1 (iv) Important Deleted for CBSE Board 2023 Exams
Ex 1.4 ,1 (v) Deleted for CBSE Board 2023 Exams
Ex 1.4, 2 (i) Important Deleted for CBSE Board 2023 Exams
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Ex 1.4, 2 (iv) Important Deleted for CBSE Board 2023 Exams
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Ex 1.4, 2 (vi) Important Deleted for CBSE Board 2023 Exams
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Ex 1.4, 6 Important Deleted for CBSE Board 2023 Exams
Ex 1.4, 7 Deleted for CBSE Board 2023 Exams
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Ex 1.4, 9 (i) Deleted for CBSE Board 2023 Exams
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Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2023 Exams
Last updated at March 16, 2023 by Teachoo
Ex 1.4, 2 For each binary operation * defined below, determine whether * is commutative or associative. (v) On Z+, define a * b = 𝑎^𝑏 Check commutative * is commutative if a * b = b * a Since a * b ≠ b * a * is not commutative a * b = 𝑎^𝑏 b * a = 𝑏^𝑎 Check associative * is associative if (a * b) * c = a * (b * c) Example Let a = 2, b = 3, c = 4 (a * b)* c = (𝑎^𝑏) * c = (𝑎^𝑏 )^𝑐 a * (b * c) = a * (2^𝑏𝑐) = 2^(𝑎2^𝑏𝑐 ) (a * b)* c = (2 * 3) * 4 = (2^3) * 4 = 8 * 4 = 8^4 a * (b * c) = 2 * (3 * 4) = 2 * (3^4) = 2 * 81 = 2^81 Since (a * b) * c ≠ a * (b * c) * is not an associative binary operation