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