Let A = { ( (x,y): y = e^{-x} ) } and B = { ( (x,y):y=-x ) }... | Mathematics | SolveeIt

Let A = { $(x,y): y = e^{-x}$ } and B = { $(x,y):y=-x$ }. Then the correct statement is :

$A \cap B = \phi$

$A \subset B$

$B \subset A$

$A \cup B = \\{(01),(0,0)\\}$

Answer

$A \cap B = \phi$

Explanation

The correct option is(A): A ∩ B =ϕ

given that : y=ex and y= e-x

= ex=e-x or e2x=1

Then x=0, hence y=1

therefore; the curve meet at(0,1) so that

A∩B=(0,1), OR A ∩ B =ϕ.

Mathematics Question on Relations and functions