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Question

If $A equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 4 semicolon blank x comma y element of R right curly bracket$ and
$B equals left curly bracket open parentheses x comma y close parentheses colon x to the power of 2 end exponent plus y to the power of 2 end exponent equals 9 semicolon x comma y element of R right curly bracket$ , then

$A - B = ϕ$
$B - A = B$
$A \cap B \neq ϕ$
$A \cap B = A$

The correct answer is: $B minus A equals B$

Clearly, $A$ is the set of all points on a circle with centre at the origin and radius 2 and $B$ is the set of all points on a circle with centre at the origin and radius 3. The two circles do not intersect. Therefore,
$A intersection B equals ϕ rightwards double arrow B minus A equals B$

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