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text If  end text a x to the power of 2 end exponent plus 2 h x y plus b y to the power of 2 end exponent plus 2 g x plus 2 f y plus c equals 0 represents a pair of parallel lines then square root of fraction numerator g to the power of 2 end exponent minus a c over denominator f to the power of 2 end exponent minus b c end fraction end root equals

  1. fraction numerator a over denominator b end fraction    
  2. square root of fraction numerator a over denominator b end fraction end root    
  3. square root of fraction numerator b over denominator a end fraction end root    
  4. fraction numerator b over denominator a end fraction    

The correct answer is: square root of fraction numerator a over denominator b end fraction end root


    2 square root of fraction numerator g to the power of 2 end exponent minus a c over denominator a left parenthesis a plus b right parenthesis end fraction end root equals 2 square root of fraction numerator f to the power of 2 end exponent minus b c over denominator b left parenthesis a plus b right parenthesis end fraction end root

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