Question:medium

If the circles \[ x^2+y^2+2gx+6y+4=0 \] and \[ x^2+y^2-gx-2y-14=0 \] cut each other orthogonally for a positive integral value of \(g\), then the radical axis of the two circles is:

Show Hint

The radical axis of two circles is obtained immediately by subtracting their equations. First determine any unknown parameters, then subtract.
Updated On: Jun 17, 2026
  • \(3x+8y+18=0\)
  • \(9x+8y+18=0\)
  • \(3x+4y+9=0\)
  • \(6x+4y+9=0\)
Show Solution

The Correct Option is C

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