CircleHardBloom L3
Question
Four-unit circles pass through the origin and have their centres on the coordinate axes. The area of the quadrilateral whose vertices are the points of intersection (in pairs) of the circles, is:
Options
A.1sq. unit
B.$2\sqrt{2}$ sq. units
C.4 sq. units
D.can not be uniquely determined, insufficient data
Solution
[Key Concept: Four unit circles through $O$ with centres on the axes — exploit the symmetric configuration.]
Ar. (square of sides 2 ) $= 4$ sq. units
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