SOLUTION: in a given ellipse, the distance between foci is 2c and between vertices 2a. determine the distance from one of the foci to the nearest vertex

Question 1086405: in a given ellipse, the distance between foci is 2c and between vertices 2a. determine the distance from one of the foci to the nearest vertex
Answer by Edwin McCravy(20060) (Show Source): You can put this solution on YOUR website!




The vertices are P and S
The foci are Q and R

Given: QR = 2c
       PS = 2a

To find: PQ = RS = x

     PS = PQ + QR + RS

     2a =  x + 2c +  x

     2a = 2x + 2c

2a - 2c = 2x

  a - c = x

Answer: a - c

Edwin

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