If the sets A and B are defined as A = {(x, y) : y = e x , x ∈ R}; B = {(x, y) : y = x, x ∈ R}, then Options: A . &nbspB ⊆ A B . &nbspA ⊆ B C . &nbspA ∩ B = ∅ D . &nbspA ∪ B = A

If the sets A and B are defined as A = {(x, y) : y = ex, x ∈ R}

Question

If the sets A and B are defined as A = {(x, y) : y =

e^{x}

, x ∈ R};
B = {(x, y) : y = x, x ∈ R}, then

Options:

A . B ⊆ A

B . A ⊆ B

C . A ∩ B = ∅

D . A ∪ B = A

Answer: Option C
:
C
Since, y =

e^{x}

and y = x do not meet for any x∈ R

∴

A∩ B =∅ .

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