NCERT Class 12 Mathematics Answers and Solutions

1. (i) Neither reflexive nor symmetric nor transitive.

(ii) Neither reflexive nor symmetric nor transitive.

(iii) Reflexive and transitive but not symmetric.

(iv) Reflexive, symmetric and transitive.

(v) (a) Reflexive, symmetric and transitive.

(b) Reflexive, symmetric and transitive.

(c) Neither reflexive nor symmetric nor transitive.

(d) Neither reflexive nor symmetric nor transitive.

(e) Neither reflexive nor symmetric nor transitive.

3. Neither reflexive nor symmetric nor transitive.

5. Neither reflexive nor symmetric nor transitive.

9. (i) {1, 5, 9}, (ii) {1}

12. T1 is related to T3.

13. The set of all triangles 

14. The set of all lines y = 2x + c, c ∈ R

15. B 

16. C

EXERCISE 1.2

1. No

2. (i) Injective but not surjective (ii) Neither injective nor surjective (iii) Neither injective nor surjective (iv) Injective but not surjective (v) Injective but not surjective

7. (i) One-one and onto (ii) Neither one-one nor onto.

9. No 

10. Yes 

11. D 

12. A

EXERCISE 1.3

1. gof = {(1, 3), (3,1), (4,3)}

3. (i) (gof ) (x) = |5 | x |– 2|, (fog) (x) = |5x – 2| (ii) (gof ) (x) = 2x, (f og) (x) = 8x

4. Inverse of f is f itself

Please refer to attached file for NCERT Class 12 Mathematics Answers Ans Solutions