JEE MAINS QUIZ ON RELATIONS AND FUNCTIONS Leave a Comment / JEE MAINS / By admin Table of Contents ToggleJEE MAINS QUIZ ON RELATIONS AND FUNCTIONS JEE MAINS QUIZ ON RELATIONS AND FUNCTIONS Welcome to your JEE MAINS QUIZ - 2 RELATION AND FUNCTIONS Good luck for the Quiz!!! Name Email ID Contact No. 1. None 2. 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 3. [-1, 1] {-1} {0} {1} None 4. f(xy)=f(x).f(y) f(xy)≥f(x).f(y) f(xy)≤f(x).f(y) none of these None 5. 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 6. 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 7. Let f:R→R be defined,respectively by f(x)=x+1and g(x)=2x-3. Then 8. The set of negative real numbers is denoted by Y. Here, Y refers to (-∞,0) [-∞ ,0] (-∞,0] [-∞,0) None 9. If n(A) = 5 and n(B) =7, then the number of relations on A×B is 10. 1/2 1 3/2 2 None 11. 42 49 50 51 None 12. [2, 3] [-2, 2] [3, 1] [-3, -2] None 13. Consider the following statements Statement I is true. Statement II is true. Both are true. Both are false. None 14. If n(A) =3, n(B)= 4, then, (A×A×B) is equal to 36 12 108 none of these None 15. 16. 17. 18. 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 19. Statement I is true. Statement II is true Both are true Both are false None 20. 21. 22. f is a function g is a function Both (a) and (b) None of above None 23. 24. {0,1,2,3,4} {0,1,2,3} {1,2} {2,3,4} None 25. 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 26. 27. 28. {(2,4), (3,4)} {(4, 2), (4,3)} {(2,4), (3,4), (4,4)} {(2, 2), (3, 3), (4, 4), (5, 5)} None 29. 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 30. 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 31. 0.5 0.6 0.7 0.8 None 32. [-1, 1] [2, 3] [3, 7] [-7, -3] None 33. 34. ϕ(ab) ϕ(-ab) ϕ(a)+ϕ(b) ϕ(a-b) None 35. The domain and range of the function f(x)=1+|x-3| are R, [1,∞) N, (1,∞) R, [0, 1] N, (0, 1) None 36. 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 37. 38. R – {-1, -2} R – {-1, -2, 0} (-3, -1) ∪ (-1, ∞) (-3, ∞)- {-1, -2} None 39. The simplified from of f(x)=|x-2|+|x+2|,-3≤x≤3 is 40. 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 41. 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 42. symmetric about x-axis symmetric about y-axis symmetric about x and y axes none of these None 43. Only (II) Only (I) Only (IV) (II), (III) and (IV) None 44. 45. 46. [8, 72] [0,72] [-8, 72] [0, 8] None 47. 48. 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 49. {1,2,3} {1,2,3,4,5,6} {1,2,3,4} {1,2,3,4,5} None 50. If A = {1,2}and B={3,4},then A×(B∩ϕ) is equal to ϕ A B A×B None Time's up Time is Up! Attempt the Quiz on MathematicsAttempt theQuiz on Physics: Attempt theQuiz on Chemistry: TRIGONOMETRIC FUNCTIONSTRIGONOMETRYSETS QUESTIONSRELATIONS AND FUNCTIONSMATRICES AND DETERMINANTSSET THEORY JEE MAINS QUESTIONS chemical bondingWORK POWER AND ENERGYMOTION ONE DIMENSIONUNITS AND MEASUREMENTSUNITS AND MEASUREMENTSMOTION IN ONE TWO DIMENSIONS RELATIVE VELOCITYIMPORTANT QUESTIONS ON ELECTRICAL CHARGES AND FIELDSPHYSICAL WORLDELECTRICAL CHARGES AND FIELDSJEE MAINS QUIZ ON STATES OF MATTER CLASSIFICATION ELEMENTS AND PERIODICITY IN PROPERTIESSTRUCTURE OF ATOMTHE SOLID STATEBASIC CONCEPTS OF CHEMISTRY Subscribe our YouTube Channel EDUCATION WORLD EW DOWNLOAD OUR MOBILE APPLICATION JEE MAINS QUIZ ON RELATIONS AND FUNCTIONS
