# If sets A and B are defined as A = R{(x,y)∣y=1x,0≠x∈R} B = {(x, y) | y = – x, x ∈ R}, then ______. - Mathematics

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MCQ
Fill in the Blanks

If sets A and B are defined as A = {(x, y) | y = 1/x, 0 ≠ x ∈ "R"} B = {(x, y) | y = – x, x ∈ R}, then ______.

#### Options

• A ∩ B = A

• A ∩ B = B

• A ∩ B = Φ

• A ∪ B = A

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#### Solution

If sets A and B are defined as A = {(x, y) | y = 1/x, 0 ≠ x ∈ "R"} B = {(x, y) | y = – x, x ∈ R}, then A ∩ B = Φ.

Explanation:

Given that, A = {(x, y) | y = 1/x, 0 ≠ x ∈ "R"}

And = {(x, y) | y = – x, x ∈ R}

It is very clear that y = 1/x and y = – x

∵ 1/x ≠ - x

∴ A ∩ B = Φ

Concept: Sets and Their Representations
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#### APPEARS IN

NCERT Mathematics Exemplar Class 11
Chapter 1 Sets
Exercise | Q 39 | Page 16

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