1.

Three circles of radii a, b, c (a < b < c) touch each other externally. If they have x-axis as a common tangent, then:

A. \(\frac{1}{{\sqrt a }} = \frac{1}{{\sqrt b }} + \frac{1}{{\sqrt c }}\)
B. \(\frac{1}{{\sqrt b }} = \frac{1}{{\sqrt a }} + \frac{1}{{\sqrt c }}\)
C. a, b, c are in A.P.
D. \(\sqrt a ,{\rm{\;}}\sqrt b ,{\rm{\;}}\sqrt c\) are in A.P.
Answer» B. \(\frac{1}{{\sqrt b }} = \frac{1}{{\sqrt a }} + \frac{1}{{\sqrt c }}\)


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