Maths-
General
Easy

Question

The eccentricity of the ellipse which meets the straight line fraction numerator x over denominator 7 end fraction plus fraction numerator y over denominator 2 end fraction equals 1 on the axis of X and the straight line fraction numerator x over denominator 3 end fraction minus fraction numerator y over denominator 5 end fraction equals 1 on the axis o f Y and whose axis lie along the coordinate axes is

  1. fraction numerator 3 square root of 2 over denominator 7 end fraction    
  2. fraction numerator 2 square root of 3 over denominator 7 end fraction    
  3. fraction numerator square root of 3 over denominator 7 end fraction    
  4. fraction numerator 2 square root of 6 over denominator 7 end fraction    

The correct answer is: fraction numerator 2 square root of 6 over denominator 7 end fraction


    a equals 7 comma b equals 5 e equals square root of 1 minus fraction numerator 25 over denominator 49 end fraction end root equals fraction numerator square root of 24 over denominator 7 end fraction

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