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JEE Main 2019 · 9 Jan · Shift I

JEE Main 2019 Mathematics question on Circles

Three circles of radii a,b,ca, b, c (a<b<c)(a < b < c) touch each other externally. If they have X-axis as a common tangent, then
  1. A.
    a,b,ca, b, c are in AP
  2. B.
    1a=1b+1c\frac{1}{\sqrt{a}} = \frac{1}{\sqrt{b}} + \frac{1}{\sqrt{c}}
  3. C.
    a,b,c\sqrt{a}, \sqrt{b}, \sqrt{c} are in AP
  4. D.
    1b=1a+1c\frac{1}{\sqrt{b}} = \frac{1}{\sqrt{a}} + \frac{1}{\sqrt{c}}
Show answer

Correct option: B

[JEE Main 2019 · 9 Jan · Shift I]

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