Ex 1.4, 8 - Chapter 1 Class 12 Relation and Functions
Last updated at April 16, 2024 by Teachoo
Binary Operations
Ex 1.4 ,1 (ii) Important Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (iii) Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (iv) Important Deleted for CBSE Board 2025 Exams
Ex 1.4 ,1 (v) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (i) Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (ii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (iii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (iv) Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (v) Deleted for CBSE Board 2025 Exams
Ex 1.4, 2 (vi) Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 3 Deleted for CBSE Board 2025 Exams
Ex 1.4, 4 Deleted for CBSE Board 2025 Exams
Ex 1.4, 5 Deleted for CBSE Board 2025 Exams
Ex 1.4, 6 Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 7 Deleted for CBSE Board 2025 Exams
Ex 1.4, 8 Deleted for CBSE Board 2025 Exams You are here
Ex 1.4, 9 (i) Deleted for CBSE Board 2025 Exams
Ex 1.4, 9 (ii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 9 (iii) Deleted for CBSE Board 2025 Exams
Ex 1.4, 9 (iv) Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 9 (v) Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 9 (vi) Deleted for CBSE Board 2025 Exams
Ex 1.4, 10 Deleted for CBSE Board 2025 Exams
Ex 1.4, 11 Important Deleted for CBSE Board 2025 Exams
Ex 1.4, 12 Deleted for CBSE Board 2025 Exams
Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2025 Exams
Binary Operations
Last updated at April 16, 2024 by Teachoo
Ex 1.4, 8 Let * be the binary operation on N defined by a * b = H.C.F. of a and b. Is * commutative? Is *associative? Does there exist identity for this binary operation on N? Check commutative * is commutative if a * b = b * a Since a * b = b * a ∀ a, b ∈ N * is commutative Check associative * is associative if (a * b) * c = a * (b * c) Since (a * b) * c = a * (b * c) ∀ a, b ∈ N * is associative Identity Element e is the identity of * if a * e = e * a = a i.e. HCF of a & e = HCF of e & a = a There is no value of e which satisfies the given condition Example: Let e = 1 HCF of a & 1 = 1 ≠ a HCF of 1 & a = 1 ≠ a Thus, there is no identity of * in N.