Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Relations and Functions

Question:

If $A=\left\{(x, y): y=e^x, x \in R\right\}$ and $B=\{(x, y): y=x, x \in R\}$, then

Options:

$A \subseteq B$

$A \subseteq B$

$A \cap B=\varphi$

$A \cap B \neq \varphi$

Correct Answer:

$A \cap B=\varphi$

Explanation:

A is the set of all points on the graph of $y=e^x$. B is the set of all points on the line y = x. Since the curves are non intersecting, we have $A \cap B=\varphi$

Hence (3) is the correct answer.