HomeMath Class 11RELATION & FUNCTION MCQ test 1 RELATION & FUNCTION MCQ test 1 RELATION & FUNCTION Class 11 CBSE - MCQ test 1 Q1. A relation f from a set A to a set B is said to be function if every element of set A has one and only one image in set B. True False Q2. The notation f : X →Y means that f is a function from X to Y. X is called the ----- of f . Domain Co-domain Image None of these Q3. The notation f : X →Y means that f is a function from X to Y. Y is called the ----- of f . Domain Co-domain Image None of these Q4. The image of a function is always a subset of the codomain of the function. True False Q5. Given three relations R, S, T from A = {x, y, z} to B = {u, v, w} defined as: 1) R = {(x, u), (z, v)} 2) S = {(x, u), (y, v), (z, w)} 3) T = {(x, u), (x, v), (z, w)} Identify which of the given relations is/are function(s) using relations and functions definition. R is a function from A to B T is a function from A to B S is a function from A to B None of thses Q6. 'Every function is a relation but every relation is not a function.' True False Q7. If f is a function on real numbers defined as find f(6). 3 5 7 0 Q8.The domain values are equal to the range values for an ---------function. Constant identity Polynomial None of these Q9. If f(x) = x3 – (1/x3), then f(x) + f(1/x) is equal to 2x3 2/x3 0 1 Q10. If f(x) = x2 + 2, x ∈ R, then the range of f(x) is [2, ∞) (-∞, 2] (2, ∞) (-∞, 2) U (2, ∞) < Q11. Which method is adopted for relation between two non empty set. Set Builder form Roaster from Arrow diagram All of above Q12. If n(A)=3,n(B)=4. What will be value of n(AXAXB) 12 36 48 None of these Q13. If n(A)=m , n(B)=n What will be non empty relation between set A to set B. (2^mn) (2^mn) +1 (2^mn)X 1 (2^mn) - 1 Q14. If R= {(x, y): x,y∈W,X^2+Y^2=25} Find range of R {3,4} {0,3,4,5} {0,5} None of these Q15. Given A= {1,3,5} and B= {2,4} .List the element of R:A →B={(x, y): x,y∈AXB and x>y} {(3, 2),(5, 2),(5, 4)} {(3, 4),(1, 4)} (3, 4),(5, 4) None of these Q16.Let R be the relation from Set A to Set b then R ⊆ AXB R U AXB R ∩ AXB None of these Q17. If R is relation of a finite set having n elements then number of relation on A is 2^2 2^n^2 2n (2^n)-1 Q18. Let A= {1, 2, 3,….,14}. Define a relation on a set A by R= {(x, y): 3x – y = 0, where x, y ∈ A}. Which one is the range of relation. {3, 6, 9} {3, 6, 9, 12} {3, 6, 12} None of these Q19. Let A = {x, y, z} and B = {a, b}. Find the total number of relations from A into B. 6 64 12 None of these Q20. If A = {1, 2, 3}, B = {4, 5, 6}, which of the following are relations from A to B? Give reasons in support of your answer. (i) {(1, 6), (3, 4), (5, 2)} (ii) {(1, 5), (2, 6), (3, 4), (3, 6)} (iii) {(4, 2), (4, 3), (5, 1)} (iv) A × B (i) and (ii) (i) and (iii) (ii) and (iv) None of these Submit Your Answers Newer Older