CircleHardBloom L3
Question
One circle has a radius of 5 and its center at ( 0,5 ). A second circle has a radius of 12 and its centre at $(12,0)$. The length of a radius of a third circle which passes through the center of the second circle and both points of intersection of the first 2 circles, is equal to:
Options
A.$13/2$
B.$15/2$
C.$17/2$
D.none
Solution
Sol. [Key Concept: Two circles of given radii/centres: classify and measure via centre-distance vs $r_{1} \pm \ r_{2}$.]
From figure it is clear that circle has $AB$ as diameter
$$\Rightarrow r = \frac{13}{2} $$
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