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If the line l x plus m y equals 1 is a normal to the hyperbola fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction minus fraction numerator y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction equals 1 then fraction numerator a to the power of 2 end exponent over denominator l to the power of 2 end exponent end fraction minus fraction numerator b to the power of 2 end exponent over denominator m to the power of 2 end exponent end fraction equals

  1. a to the power of 2 end exponent minus b to the power of 2 end exponent    
  2. a to the power of 2 end exponent plus b to the power of 2 end exponent    
  3. open parentheses a to the power of 2 end exponent plus b to the power of 2 end exponent close parentheses to the power of 2 end exponent    
  4. open parentheses a to the power of 2 end exponent minus b to the power of 2 end exponent close parentheses to the power of 2 end exponent    

The correct answer is: open parentheses a to the power of 2 end exponent plus b to the power of 2 end exponent close parentheses to the power of 2 end exponent

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