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- 1. Multiple Choice
Find a and b, when (a - 1, b + 5) =(2, 3) .
a = 3, b = - 2
a = - 3, b = 2
a = 3, b = 2
a = - 3, b = - 2
- 2. Multiple Choice
If is a relation on Z, then domain of R is
{0, 1, 2}
{0, - 1, - 2}
{- 2, - 1, 0, 1, 2}
none of these
- 3. Multiple Choice
If A = {1, 2, 3}, B = {1, 4, 6, 9} and R is a relation from A to B defined by 'x is greater than y'. The range of R is
{1, 4, 6, 9}
{4, 6, 9}
{1}
none of these
- 4. Multiple Choice
If the set A has p elements, B has q elements, then the number of elements in A x B is
p + q
p + q + 1
pq
p2
- 5. Multiple Choice
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}
- 6. Multiple Choice
If (x + 3, 5) = (6, 2x + y) then values of x and y are
x = 3, y = 1
x = 3, y = - 1
x = - 3, y = 1
x = - 3, y = - 1
- 7. Multiple Choice
If A = {1, 2, 3} and B = {4, 5}, then
none of these
- 8. Multiple Choice
If A, B, C are any three sets, then
none of these
- 9. Multiple Choice
If R is a relation from a set A to a set B, then
none of these
- 10. Multiple Choice
Number of relations that can be defined on the set A = {1, 2, 3} is
8
6
512
none of these
- 11. Multiple Choice
If A and B are two finite sets containing respectively m and n elements, then the number of non-empty relations that can be defined from A to B is
- 12. Multiple Choice
Find the domain and range of the relation R given by
Domain = {1, 2, 3}, Range = {5, 7}
Domain = {1, 2, 3, 4, 5}, Range = {5, 7}
Domain = {1, 2, 3, 4, 5}, Range = {7, 5, 5.5, 6.2}
none of these
- 13. Fill in the Blank
Let A = {1, 2} and B = {3, 4}. How many subsets will A × B have?
- 14. Fill in the Blank
Let A = {x, y, z} and B = {1, 2}. Find the number of relations from A to B.
- 15. Fill in the Blank
Let A = {1, 2, 3,...,14}. Define a relation R from A to A by
R = {(x, y) : 3x – y = 0, where x, y A}. Write down its domain. - Answer choicesTagsAnswer choicesTags