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Question

If the two circles, x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 1 end subscript x plus 2 f subscript 1 end subscript y equals 0 and x to the power of 2 end exponent plus y to the power of 2 end exponent plus 2 g subscript 2 end subscript x plus 2 f subscript 2 end subscript y equals 0 touches each other, then‐

  1. f subscript l end subscript g subscript 1 end subscript equals f subscript 2 end subscript g subscript 2 end subscript    
  2. fraction numerator f subscript 1 end subscript over denominator g subscript 1 end subscript end fraction equals fraction numerator f subscript 2 end subscript over denominator g subscript 2 end subscript end fraction    
  3. f subscript 1 end subscript f subscript 2 end subscript equals g subscript l end subscript g subscript 2 end subscript    
  4. none    

The correct answer is: fraction numerator f subscript 1 end subscript over denominator g subscript 1 end subscript end fraction equals fraction numerator f subscript 2 end subscript over denominator g subscript 2 end subscript end fraction

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