Maths-
General
Easy

Question

If S and straight S to the power of straight prime are two foci of an ellipse fraction numerator x to the power of 2 end exponent over denominator a to the power of 2 end exponent end fraction blank+blank fraction numerator blank y to the power of 2 end exponent over denominator b to the power of 2 end exponent end fraction= 1 left parenthesis a less than b right parenthesis and P open parentheses x subscript 1 end subscript comma y subscript 1 end subscript close parentheses a point on it, then SP + straight S to the power of straight prime P is equal to-

  1. fraction numerator x to the power of 2 end exponent over denominator 80 end fraction blank+blank fraction numerator y to the power of 2 end exponent over denominator blank 5 divided by 4 end fraction = 1    
  2. fraction numerator x to the power of 2 end exponent over denominator 20 blank end fraction blankblank fraction numerator y to the power of 2 end exponent over denominator 5 end fraction = 1    
  3. fraction numerator x to the power of 2 end exponent over denominator 100 end fraction blank+blank fraction numerator y to the power of 2 end exponent over denominator 5 end fraction = 1    
  4. None of these    

The correct answer is: fraction numerator x to the power of 2 end exponent over denominator 80 end fraction blank+blank fraction numerator y to the power of 2 end exponent over denominator blank 5 divided by 4 end fraction = 1

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