Question

If A = {(x, y)/x² + y² =54; x,y belong toR} and B={(x,y)/x2 + y2 29; x, y belong to R}, then
1) A-B= phi
2) B-A=phi
3) A intersection B is not equal to phi
4) A intersection B = phi​

Answer 1

Step-by-step explanation:

2checj it please

hmmmmmm

Answer 2

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Correct option is

C

{−2,−1,0,1,2}

We have R={(x,y):x,y∈Z,x

2

+y

2

≤4}.

Let x=0∴x

2

+y

2

≤4⇒y

2

≤4⇒y=0,±1,±2

Let x=±1∴x

2

+y

2

≤4⇒y

2

≤3⇒y=0,±1

Let x=±2∴x

2

+y

2

≤4⇒y

2

≤0⇒y=0

∴R={(0,0),(0,−1),(0,1),(0,−2),(0,2),(−1,0),(1,0),(1,1),(1,−1),(−1,1),(2,0),(−2,0)}

∴ Domain of R={x:(x,y)ϵR}={0,−1,1,−2,2}.

∴ The correct answer is C.