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. 3. Let f:R→R be defined,respectively by f(x)=x+1and g(x)=2x-3. Then 4. 1/2 1 3/2 2 None 5. If A = {1,2}and B={3,4},then A×(B∩ϕ) is equal to ϕ A B A×B None 6. 7. The domain and range of the function f(x)=1+|x-3| are R, [1,∞) N, (1,∞) R, [0, 1] N, (0, 1) None 8. symmetric about x-axis symmetric about y-axis symmetric about x and y axes none of these None 9. 10. 42 49 50 51 None 11. 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 12. [2, 3] [-2, 2] [3, 1] [-3, -2] None 13. 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 14. ϕ(ab) ϕ(-ab) ϕ(a)+ϕ(b) ϕ(a-b) None 15. If n(A) = 5 and n(B) =7, then the number of relations on A×B is 16. None 17. The set of negative real numbers is denoted by Y. Here, Y refers to (-∞,0) [-∞ ,0] (-∞,0] [-∞,0) None 18. R – {-1, -2} R – {-1, -2, 0} (-3, -1) ∪ (-1, ∞) (-3, ∞)- {-1, -2} None 19. 20. 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 21. 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 22. [-1, 1] {-1} {0} {1} None 23. If n(A) =3, n(B)= 4, then, (A×A×B) is equal to 36 12 108 none of these None 24. f(xy)=f(x).f(y) f(xy)≥f(x).f(y) f(xy)≤f(x).f(y) none of these None 25. The simplified from of f(x)=|x-2|+|x+2|,-3≤x≤3 is 26. [8, 72] [0,72] [-8, 72] [0, 8] None 27. 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 28. 29. 0.5 0.6 0.7 0.8 None 30. Only (II) Only (I) Only (IV) (II), (III) and (IV) None 31. 32. 33. 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 34. 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 35. Consider the following statements Statement I is true. Statement II is true. Both are true. Both are false. None 36. 37. {1,2,3} {1,2,3,4,5,6} {1,2,3,4} {1,2,3,4,5} None 38. {0,1,2,3,4} {0,1,2,3} {1,2} {2,3,4} None 39. [-1, 1] [2, 3] [3, 7] [-7, -3] None 40. 41. 42. 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 43. 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 44. {(2,4), (3,4)} {(4, 2), (4,3)} {(2,4), (3,4), (4,4)} {(2, 2), (3, 3), (4, 4), (5, 5)} None 45. 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 46. 47. f is a function g is a function Both (a) and (b) None of above None 48. 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 49. Statement I is true. Statement II is true Both are true Both are false None 50. Time's up Time is Up!
