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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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