If A - x - y - y - e x - x - R and B - x - y - y - e - x - x - R - then write A - B-

A ∩ B = { (x,y) : y = e^x, x ϵ, x ϵ R }∩{ (x,y): y = e^ x, x ϵ R } ⇒ A ∩ B = { (x,y) : y = e^x and y = e^ x, x ϵ R} ⇒ A ∩ B = { (0,1): y = 1= e^0=e^ 0, x ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XII

Mathematics

Disjoint

If A = x , y ...

Question

If A = { $(x, y) : y = e^{x}, x ϵ R$ } and B = { $x, y : y = e^{- x}, x ϵ R$ } , then write $A \cap B$ .

Open in App

Solution

$A \cap B = {(x, y) : y = e^{x}, x ϵ, x ϵ R} \cap {(x, y) : y = e^{- x}, x ϵ R}$

$\Rightarrow A \cap B = {(x, y) : y = e^{x} a n d y = e^{- x}, x ϵ R}$

$\Rightarrow A \cap B = {(0, 1) : y = 1 = e^{0} = e^{- 0}, x = 0 ϵ R}$

$\Rightarrow A \cap B = {(0, 1)}$

Suggest Corrections

Similar questions

Q. Let

A = {(x, y) : y = e^{x}, x \in R}

B = {(x, y) : y = e^{- x}, x \in R}

. Then

Q. If

A = {(x, y) : y = e^{x}, x \in R}

and

B = {(x, y) : y = x, x \in R}

, then

If A={(x,y):y=e^x,x belongs to R} and B={(x,y):y=e^-x,x belongs to R}, then write A intersection B.

Q. If

A = {(x, y) : y = e^{x}, x \in R}, B = {(x, y) : y = x, x \in R}

, then

Q. If sets

A

and

B

are define as

A = {(x, y) : y = e^{x}, x \in R}

B = {(x, y) : y = x, x \in R}

, then

Join BYJU'S Learning Program

If A = {(x,y):y=ex,x ϵ R} and B = {x,y:y=e−x,x ϵ R} , then write A∩B.

A∩B={(x,y):y=ex,x ϵ,x ϵ R}∩{(x,y):y=e−x,x ϵ R} ⇒A∩B={(x,y):y=ex and y=e−x,x ϵ R} ⇒A∩B={(0,1):y=1=e0=e−0,x=0 ϵ R} ⇒A∩B={(0,1)}

If A = { $(x, y) : y = e^{x}, x ϵ R$ } and B = { $x, y : y = e^{- x}, x ϵ R$ } , then write $A \cap B$ .

$A \cap B = {(x, y) : y = e^{x}, x ϵ, x ϵ R} \cap {(x, y) : y = e^{- x}, x ϵ R}$

$\Rightarrow A \cap B = {(x, y) : y = e^{x} a n d y = e^{- x}, x ϵ R}$

$\Rightarrow A \cap B = {(0, 1) : y = 1 = e^{0} = e^{- 0}, x = 0 ϵ R}$

$\Rightarrow A \cap B = {(0, 1)}$