JEE MAIN QUIZ – 2 RELATION AND FUNCTIONS Welcome to your JEE MAINS QUIZ - 2 RELATION AND FUNCTIONS Good luck for the Quiz!!! Name Email ID Contact No. 1. 2. The relation R defined on set A= {x:|x|<3,x∈I} by R={(x,y):y=|x| is {(-2, 2), (-1, 1), (0, 0), (1, 1), (2, 2)} {(-2, -2), (-2, 2), (-1, 1), (0, 0), (1, -2), (1, 2), (2, -1), (2, -2)} {(0, 0), (1, 1), (2, 2)} None of the above None 3. The simplified from of f(x)=|x-2|+|x+2|,-3≤x≤3 is 4. If f(x)=x+1 and g(x)=2x,then f(g(x)) is equal to 2(x+1) 2x(x+1) x 2x+1 None 5. The figure shows a relationship between the sets P and Q. Then, which of the following is/are true? The relation is set-builder form is {( The relation in set Roster from is {(5, 3), (6, 4), (7, 5)}. The domain of this relation is {3, 4, 5}. The range of this relation is {5, 6, 7}. I and II are true III and IV are true II, III and IV are true ALL are true None 6. 7. [-1, 1] [2, 3] [3, 7] [-7, -3] None 8. 1/2 1 3/2 2 None 9. R is relation on N given by R = ={(x,y):4x+3y=20}. Which of the following belongs to R? (-4, 12) (5, 0) (3, 4) (2, 4) None 10. Only (II) Only (I) Only (IV) (II), (III) and (IV) None 11. If n(A) =3, n(B)= 4, then, (A×A×B) is equal to 36 12 108 none of these None 12. 13. 14. 15. [8, 72] [0,72] [-8, 72] [0, 8] None 16. If the relation = {(x,y):y is exactly divisible by x,x∈X,y∈Y} where X={10,20,30,40}and Y = {10,40,60,80}. Then its range is {10,40,60,80} {10,20,40,60} {10,20,40,80} {20,60,40,80} None 17. 18. If A = {1,2}and B={3,4},then A×(B∩ϕ) is equal to ϕ A B A×B None 19. If two sets A and B are having 99 elements in common, then the number of elements common to each of the sets A×B and B×A are 20. 21. If n(A) = 5 and n(B) =7, then the number of relations on A×B is 22. f(xy)=f(x).f(y) f(xy)≥f(x).f(y) f(xy)≤f(x).f(y) none of these None 23. 0.5 0.6 0.7 0.8 None 24. None 25. 26. 27. The set of negative real numbers is denoted by Y. Here, Y refers to (-∞,0) [-∞ ,0] (-∞,0] [-∞,0) None 28. Statement I is true. Statement II is true Both are true Both are false None 29. ϕ(ab) ϕ(-ab) ϕ(a)+ϕ(b) ϕ(a-b) None 30. 31. If A = {1, 2, 3, 4} and B= {5,7,9}, then A×B=B×A n(A×B)=n(B×A) Both (a) and (b) None of the above None 32. Let A={x,y,z} and B = {a, b, c, d}. Which one of the following is not a relation from A to B? {(x,a),(x,c)} {(y,c),(y,d)} {(z,a),(z,d)} {(z,b),(y,b),(a,d)} None 33. The domain and range of the function f(x)=1+|x-3| are R, [1,∞) N, (1,∞) R, [0, 1] N, (0, 1) None 34. 42 49 50 51 None 35. 36. [2, 3] [-2, 2] [3, 1] [-3, -2] None 37. {0,1,2,3,4} {0,1,2,3} {1,2} {2,3,4} None 38. Consider the following statements Statement I is true. Statement II is true. Both are true. Both are false. None 39. Let R be a relation on N defined by x+2y=8. The domain of R is {2, 4,8} {2,4,6,8} {2,4,6} {1,2,3,4} None 40. R – {-1, -2} R – {-1, -2, 0} (-3, -1) ∪ (-1, ∞) (-3, ∞)- {-1, -2} None 41. Let f:R→R be defined,respectively by f(x)=x+1and g(x)=2x-3. Then 42. f is a function g is a function Both (a) and (b) None of above None 43. {(2,4), (3,4)} {(4, 2), (4,3)} {(2,4), (3,4), (4,4)} {(2, 2), (3, 3), (4, 4), (5, 5)} None 44. {1,2,3} {1,2,3,4,5,6} {1,2,3,4} {1,2,3,4,5} None 45. 46. [-1, 1] {-1} {0} {1} None 47. The cartesian product of A×A has 9 elements two of which are (-1,0) and (0,1); the remaining elements of A×A are given by (- 1,1), (0,0), (-1, -1), (1, -1), (.0 -1) (-1,2), (2,0) (-1, -1), (0, 0), (-1, 1), (1, -1), (1, 0), (1, 1), (0, -1) (1, 0), (-1, 1), (1 -1), (0, 0), (2, 1), (1, 2), (-1, -1) (-1, 1), (1, -1), (-1, 0), (0, 1), (-1, -1), (1, 0), (0, 0) None 48. symmetric about x-axis symmetric about y-axis symmetric about x and y axes none of these None 49. 50. If f(x)=ax+b andg(x)=cx+d,then f(g(x))-g(f(x)) is equivalent to f(a)=g(c) f(b)=g(b) f(d)=g(b) f(x)=g(a) None Time's up Time is Up!
