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  • 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 x     (A) A ∩ B = A    (B) A ∩ B = B    (C) A ∩ B = φ    (D) A ∪ B = A

 If sets A and B are defined as A = \left\{(x,y):y= \frac{1}{x}, 0\neq x\in R \right \} B= \left\{(x,y):y= -x, x\in R \right \}, then
    (A) A ∩ B = A    (B) A ∩ B = B    (C) A ∩ B = φ    (D) A ∪ B = A
 

Answers (1)

The answer is option (c). Given that A = \left\{(x,y):y= \frac{1}{x}, 0\neq x\in R \right \} and B= \left\{(x,y):y= -x, x\in R \right \}

So, y = \frac{1}{x} and y = - x

            \frac{1}{x} \neq - x

    A\cap B = \phi

Thus, option C is correct.

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infoexpert22

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