Get live Maths 1-on-1 Classs - Class 6 to 12

Ex 1.4

Ex 1.4 ,1 (i)
Deleted for CBSE Board 2023 Exams

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

Ex 1.4, 4 Deleted for CBSE Board 2023 Exams

Ex 1.4, 5 Deleted for CBSE Board 2023 Exams

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

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

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

Ex 1.4, 10 Deleted for CBSE Board 2023 Exams You are here

Ex 1.4, 11 Important Deleted for CBSE Board 2023 Exams

Ex 1.4, 12 Deleted for CBSE Board 2023 Exams

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

Chapter 1 Class 12 Relation and Functions

Serial order wise

Last updated at March 16, 2023 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