Ex 1.4, 10 - 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 2024 Exams
Ex 1.4 ,1 (iii) Deleted for CBSE Board 2024 Exams
Ex 1.4 ,1 (iv) Important Deleted for CBSE Board 2024 Exams
Ex 1.4 ,1 (v) Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (i) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (ii) Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (iii) Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (iv) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (v) Deleted for CBSE Board 2024 Exams
Ex 1.4, 2 (vi) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 3 Deleted for CBSE Board 2024 Exams
Ex 1.4, 4 Deleted for CBSE Board 2024 Exams
Ex 1.4, 5 Deleted for CBSE Board 2024 Exams
Ex 1.4, 6 Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 7 Deleted for CBSE Board 2024 Exams
Ex 1.4, 8 Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (i) Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (ii) Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (iii) Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (iv) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (v) Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 9 (vi) Deleted for CBSE Board 2024 Exams
Ex 1.4, 10 Deleted for CBSE Board 2024 Exams You are here
Ex 1.4, 11 Important Deleted for CBSE Board 2024 Exams
Ex 1.4, 12 Deleted for CBSE Board 2024 Exams
Ex 1.4, 13 (MCQ) Important Deleted for CBSE Board 2024 Exams
Binary Operations
Last updated at April 16, 2024 by Teachoo
Ex 1.4, 10 Find which of the operations given above has identity. a * b = a b e is the identity of * if a * e = e * a = a i.e. a e = e a = a There is no possible value of e where a e = e a So, * has no identity element in Q Ex 1.4, 10 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (ii) a * b = a2 + b2 e is the identity of * if a * e = e * a = a i.e. a2 + e2 = e2 + a2 = a There is no possible value of e where a2 + e2 = e2 + a2 = a So, * has no identity element in Q Ex 1.4, 10 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (iii) a * b = a + ab e is the identity of * if a * e = e * a = a i.e. a + ae = e + ae = a There is no possible value of e where a + ae = e + ae = a So, * has no identity element in Q Ex 1.4, 10 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (iv) a * b = (a b)2 e is the identity of * if a * e = e * a = a i.e. (a e)2 = (e a)2 = a There is no possible value of e where (a e)2 = a So, * has no identity element in Q Ex 1.4, 10 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (v) a * b = ab/4 e is the identity of * if a * e = e * a = a i.e. ae/4 = ea/4 = a Which is possible if e = 4 So, 4 is the identity element of * Ex 1.4, 10 Let * be a binary operation on the set Q of rational numbers as follows. Find which are associative and which are commutative : (vi) a * b = ab2 e is the identity of * if a * e = e * a = a i.e. ae2 = ea2 = a There is no possible value of e where ae2 = ea2 = a So, * has no identity element in Q