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