Tag: cartesian product of sets

The number of ordered pairs (x, y) of natural numbers satisfy the equation $x^2+y^2+2xy-2018x-2018y-2019^o=0$ is?

The number of ordered triplet $\left(x,y,z\right),x,y,z$ are positive integers satisfying $xyz=105$

If $\int\dfrac{2\cos x-\sin x+\lambda}{\cos x-\sin x-2}dx=A In\left|\cos x+\sin x-2\right|+Bx+C$. Then the ordered triplet $\left(A,B,\lambda\right)$, is 

If $A={1, 2, 3}$ and $B={3, 8}$, then $(A\cup B)\times (A\cap B)$ is

Let $A=\left { 1,2,3 \right }$ and $B=\left { a,b \right }$.Which of the following subsets of $A\times B$ is a mapping from $A$ to $B$

Let $ A= { 1,2,3,.......50} $ and $B={2,4,6.......100}$ .The number of elements $\left ( x, y \right )\in A\times B$ such that $x+y=50$

If the cardinality of a set $A$ is $4$ and that of a set $B$ is $3$, then what is the cardinality of the set $A\Delta B$.

Let A and B be two sets such that $A\times B=\left{ \left( a,1 \right) ,\left( b,3 \right) ,\left( a,3 \right) ,\left( b,1 \right) ,\left( a,2 \right) ,\left( b,2 \right)  \right} ,$ then 

If $(x, y) = (3, 5)$ ; then values of $x$  and $y $ are