NIMCET 2014 Question Paper with solutions

Question : 31 of 120

Marks: +1, -0

If the sets A and B are defined as A = { (x , y) | y = 1 | x , 0 ≠ x ∊ R} , B = { (x , y) | y = - x ∊ R} then

Solution:

We have,
A = { (x , y) / y =

1/x

, 0 ≠ x ∊ R} ... (i)
and B = { (x , y) / y = - x ∊ R} ... (ii)
It is clear that from Eqs. (i) and (ii),
A ∩ B = Φ

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