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Introduction to Relations, Class 12 Mathematics NCERT Solutions

1. There will be total 20 MCQ in this test.
2. Please keep a pen and paper ready for rough work but keep your books away.
3. The test will consist of only objective type multiple choice questions requiring students to mouse-click their correct choice of the options against the related question number.
4. No negative marking for incorrect choice.
5. Please click on “Finish the Test” when you want to exit.
6. All the best – Happy Studying

1. Let R = { (P,Q) : OP = OQ , O being the origin} be an equivalence relation on A . The equivalence class [( 1,2)] is
Introduction to Relations Multiple Choice Questions for CBSE Class 12 Mathematics Topperlearning
 
 
 
 

Question 1 of 20

2. Let a relation T on the set R of real numbers be
T = { (a,b) : 1 + ab < 0, a,showimageR}. Then from among the ordered pairs (1,1) (1,2)(1,-2)(2,2), the only pair that belongs to T is________.
 
 
 
 

Question 2 of 20

3. For real number x and y, we write showimage (1) is an irrational number. Then the relation R is:
 
 
 
 

Question 3 of 20

4. Let A = {1, 2, 3, 4} and let R = {(2, 2), (3, 3), (4, 4), (1, 2)} be a relation on A. Then, R is
 
 
 
 

Question 4 of 20

5. If A = {1,3,5,7} and we define a relation showimage (2) Then the number of elements in the relation R is
 
 
 
 

Question 5 of 20

6. If A = {1,3,5,7} and define a relation, such that R =

{ (a,b) a,b 5671_2f76d31eac3cc576f6323ebca8c335cdA : |a+b| = 8}. Then how many elements are there in the relation R
 
 
 
 

Question 6 of 20

7. In the set 13239_image001 the relation R is defined by (a, b) R (c, d) 13239_z138  ad = bc. Then R is
 
 
 
 

Question 7 of 20

8. If A = {1, 2, 3, 4} and B = {1, 3, 5} and R is a relation from A to B defined by

(a, b) showimage (3)element of R 5663_image002_282_29 a < b. Then, R = ?
 
 
 
 

Question 8 of 20

9. Let R be the relation on the set {1, 2, 3, 4} given by R = {(1, 2), (2, 2), (1, 1), (4, 4), (1, 3), (3,3), (3,2)}. then R is
 
 
 
 

Question 9 of 20

10. Let A = {1,2,3,4,5,6,7}. P={1,2}, Q = {3, 7}. Write the elements of the set R so that P, Q and R form a partition that results in equivalence relation.
 
 
 
 

Question 10 of 20

11. Let R be a relation on set A of triangles in a plane.

R = { (T1 , T2) : T1 , T2element ofA and T1 is congruent to T2} Then the relation R is______
 
 
 
 

Question 11 of 20

12. Which one of the following relations on set of real numbers is an equivalence relation?
1
 
 
 
 

Question 12 of 20

13. Let C = {(a, b): a2 + b2 = 1; a, b 5671_2f76d31eac3cc576f6323ebca8c335cd R} a relation on R, set of real numbers. Then C is
 
 
 
 

Question 13 of 20

14. Let A = {1,2,3,4} and B = { x,y,z}. Then R = {(1,x) , ( 2,z), (1,y), (3,x)} is
 
 
 
 

Question 14 of 20

15. Let R be a relation on N, set of natural numbers such that m R n 5666_05f5711fce20ad97fa6146542375cdab m divides n. Then R is
 
 
 
 

Question 15 of 20

16. If R be a relation “less than” from set A = {1, 2, 3, 4} to B = {1, 3, 5}, i.e.

(a, b) showimage (3) R if a < b, if (b,a) showimage (3) R-1elements in R-1 are
 
 
 
 

Question 16 of 20

17. Let R be a relation on a finite set A having n elements. Then, the number of relations on A is
 
 
 
 

Question 17 of 20

18. Let R be a relation on N (set of natural numbers)
such that (m, n) R (p, q)mq(n + p) = np(m + q). Then, R is
 
 
 
 

Question 18 of 20

19. Let R = {(3, 3), (6, 6), (9, 9), (12, 12), (6, 12), (3, 9), (3, 12), (3, 6)} be a relation on the set A = {3, 6, 9, 12}. Then, R is
 
 
 
 

Question 19 of 20

20. Let R be an equivalence relation on Z, the set of integers.

R = { (a,b): a,bshowimage (3)Z and a – b is a multiple of 3 } The Equivalence class of [1] is
 
 
 
 

Question 20 of 20