Two circles are externally tangent. Line s PAB and PA'B' are common tangents with A and A' on the smaller circle and B and B' the on the larger circle. If PA= AB=4, then the square of the radius of the circle is
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answer is 2.
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Detailed Solution
AC1PA=BC2PBor BC2=2AC1PC1=16+r2and PC2=64+4r2=216+r2PC2−PC1=3ror 216+r2−16+r2=3ror 16+r2=3ror 16+r2=9r2 or r2=2