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Eliminate the parameter????

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1 Answer

 X = 4 + 2 Cos θ
 Y  = 1 + 2 Sin θ
 
    (X- 4 ) /2 = Cos θ
    ( Y -1 )/ 2 = Sin θ
 
  ( X-4 ) ^ 2   +  ( Y - 1 ) ^2 = Cos ^2 θ + Sin ^2 θ
        4                   4 
 
   ( X - 4 ) ^2 + ( Y -1 ) ^2 = 4
 
  Equation of a circle centered @ ( 4 , 1 ) with radius 2