Question

let A:={(x,y)∈ R 2 : x 2+y 2=1} and B:={(x, y) ∈ R 2 : x=1}.Find A ∩ B
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Answer 1

Answer:

2x+2y =1 and 2x=1 -- x=1/2

put value of x in 2x+2y= 1

2×1/2 + 2y =1 -- y = 0

A = 2x+2y, put value of x and y

A = 2×1/2+ 2×0, we get A = 1

B=2x , put value of x

B=2×1/2 = 1

A intersection B = 1