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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

(a) A ∩ B = A 

(b) A ∩ B = B 

(c) A ∩ B = φ 

(d) A ∪ B = A

0 2 Views | Posted 5 months ago
Asked by Shiksha User

  • 1 Answer

  • V

    Answered by

    Vishal Baghel | Contributor-Level 10

    5 months ago

    G i v e n     t h a t :           A = { ( x , y ) | y = 1 x , 0 ≠ x ∈ R }                                                             B = { ( x , y ) | y = − x , x ∈ R } H e r e ,     i t     i s     c l e a r     t h a t     y = 1 x     a n d     y = − x ?                       1 x ≠ − x ∴     A ∩ B = ? H e n c e ,     t h e     c o r r e c t     o p t i o n     i s     ( c ) .

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