# NCERT Class 12 Mathematics Answers and Solutions

Read and download NCERT Class 12 Mathematics Answers and Solutions chapter in NCERT book for Class 12 Mathematics. You can download latest NCERT eBooks for 2021 chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 12 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 12 Mathematics to understand the answers of the exercise questions given at the end of this chapter

## Answers And Solutions Class 12 Mathematics NCERT

Class 12 Mathematics students should refer to the following NCERT Book chapter Answers And Solutions in standard 12. This NCERT Book for Grade 12 Mathematics will be very useful for exams and help you to score good marks

### Answers And Solutions NCERT Class 12

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

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