Maths-
General
Easy

Question

The beds of two rivers (within a certain region) are a parabola y equals x to the power of 2 end exponent and a straight line y=x-2 These rivers are to be connected by a straight canal The coordinates of the ends of the shortest canal can be:

  1. left parenthesis fraction numerator 1 over denominator 2 end fraction comma fraction numerator 1 over denominator 4 end fraction right parenthesis and left parenthesis negative fraction numerator 11 over denominator 8 end fraction comma blank fraction numerator 5 over denominator 8 end fraction right parenthesis    
  2. left parenthesis fraction numerator 1 over denominator 2 end fraction comma blank fraction numerator 1 over denominator 4 end fraction right parenthesis and left parenthesis fraction numerator 11 over denominator 8 end fraction comma blank minus fraction numerator 5 over denominator 8 end fraction right parenthesis    
  3. left parenthesis 0 comma blank 0 right parenthesis & left parenthesis 1 comma blank minus 1 right parenthesis    
  4. none of these    

The correct answer is: left parenthesis fraction numerator 1 over denominator 2 end fraction comma blank fraction numerator 1 over denominator 4 end fraction right parenthesis and left parenthesis fraction numerator 11 over denominator 8 end fraction comma blank minus fraction numerator 5 over denominator 8 end fraction right parenthesis

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