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 . &nbsp B ⊆ A B . &nbsp A ⊆ B C . &nbsp A ∩ B = ∅ D . &nbsp A ∪ B = A

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

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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