If the two circles, x 2 + y 2 + 2g 1 x + 2f 1 y = 0 and x 2 + y 2 + 2g 2 x + 2f 2 y = 0…

Mathematics · JEE Advanced · NTA ExamsCo-ordinate Geometry

If the two circles, x2 + y2 + 2g1x + 2f1y = 0 and x2 + y2 + 2g2x + 2f2y = 0 touch each other then
  1. f1g1 = f2g2
  2. \(\frac{\mathrm{f}_{1}}{\mathrm{~g}_{1}}=\frac{\mathrm{f}_{2}}{\mathrm{~g}_{2}}\)
  3. f1f2 = g1g2
  4. none of these

Answer

(B) f _ 1 ~g _ 1 = f _ 2 ~g _ 2

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