# Ex 1.4, 12 - Chapter 1 Class 12 Relation and Functions (Term 1)

Last updated at Dec. 8, 2016 by Teachoo

Ex 1.4

Ex 1.4 ,1 (i)
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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

Ex 1.4, 2 (ii) Deleted for CBSE Board 2023 Exams

Ex 1.4, 2 (iii) Deleted for CBSE Board 2023 Exams

Ex 1.4, 2 (iv) Important Deleted for CBSE Board 2023 Exams

Ex 1.4, 2 (v) Deleted for CBSE Board 2023 Exams

Ex 1.4, 2 (vi) Important Deleted for CBSE Board 2023 Exams

Ex 1.4, 3 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

Ex 1.4, 8 Deleted for CBSE Board 2023 Exams

Ex 1.4, 9 (i) Deleted for CBSE Board 2023 Exams

Ex 1.4, 9 (ii) Deleted for CBSE Board 2023 Exams

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Ex 1.4, 9 (iv) Important Deleted for CBSE Board 2023 Exams

Ex 1.4, 9 (v) Important Deleted for CBSE Board 2023 Exams

Ex 1.4, 9 (vi) Deleted for CBSE Board 2023 Exams

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Ex 1.4, 12 Deleted for CBSE Board 2023 Exams You are here

Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2023 Exams

Chapter 1 Class 12 Relation and Functions

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Last updated at Dec. 8, 2016 by Teachoo

Ex 1.4, 12 State whether the following statements are true or false. Justify. (i) For an arbitrary binary operation * on a set N, a * a = a a * N. Let us define * a * b = a + b Calculating a * a Let a = b = 2 So, a * a = 2 * 2 = 2 + 2 = 4 2 So, a * a a Therefore, statement is false. Ex 1.4, 12 State whether the following statements are true or false. Justify. (ii) If * is a commutative binary operation on N, then a * (b * c) = (c * b) * a It is given that * is a commutative binary operation We need to check if a * (b * c) = (c * b) * a Solving R.H.S (c * b) * a = (b * c) * a = a * (b * c) = L.H.S. a * (b * c) = (c * b) * a Thus, statement is true.