Question:medium

If the circles \[ x^2+y^2-10x+8y+5=0 \] and \[ x^2+y^2+6x-4y+c=0 \] cut each other orthogonally, then the sum of the radii of these circles is

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Two circles \[ x^2+y^2+2g_1x+2f_1y+c_1=0 \] and \[ x^2+y^2+2g_2x+2f_2y+c_2=0 \] intersect orthogonally if \[ \boxed{2g_1g_2+2f_1f_2=c_1+c_2.} \]
Updated On: Jul 18, 2026
  • \(14\)
  • \(10\)
  • \(12\)
  • \(9\)
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The Correct Option is A

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