RELATIONS - CLASS XI - CBSE

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

If  $R=\left\{\left(x,y\right):\ x,\ y\in Z,\ x^2+y^2\le4\right\}$  is a relation on Z, then domain of R is

• {0, 1, 2}

• {0, - 1, - 2}

• {- 2, - 1, 0, 1, 2}

• none of these

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

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

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}

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

If A = {1, 2, 3} and B = {4, 5}, then

• $\left(4,1\right)\in A\times B$

• $\left(2,5\right)\in A\times B$

• $\left(1,4\right)\in B\times A$

• none of these

If A, B, C are any three sets, then  $A\times\left(B\cup C\right)=$  

•  $\left(A\times B\right)\cup\left(A\times C\right)$  

•  $\left(A\times B\right)\cap\left(A\times C\right)$  

•  $\left(A\times B\right)-\left(A\times C\right)$  

• none of these

If R is a relation from a set A to a set B, then

• $R\subset B\times A$

• $R=A\times B$

• $R\subset A\times B$

• none of these

Number of relations that can be defined on the set A = {1, 2, 3} is

• 8

• 6

• 512

• none of these