Question:medium

The circles whose equations are \(x^2 + y^2 + c^2 = 2ax\) and \(x^2 + y^2 + c^2 - 2by = 0\) will touch each other externally if

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Use distance formula and condition for external tangency.
Updated On: Apr 23, 2026
  • \(\frac{1}{b^2} + \frac{1}{c^2} = \frac{1}{a^2}\)
  • \(\frac{1}{c^2} + \frac{1}{a^2} = \frac{1}{b^2}\)
  • \(\frac{1}{a^2} + \frac{1}{b^2} = \frac{1}{c^2}\)
  • None of these
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The Correct Option is C

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