Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

Let $Y = \{1, 2, 3, 4, 5\}, A = \{1, 2\}, B = \{3, 4, 5\}$ and $\phi$ denote the null set. If $A × B$ denotes the cartesian product of sets A and B, then $(Y × A)∩(Y × B)$ is

Options:

$Y$

$A$

$B$

$\phi$

Correct Answer:

$\phi$

Explanation:

We have,

$(Y × A)∩(Y × B)=Y ×(A∩B)=Y ×\phi=\phi$.