ELiPSE

There r exactly 2 points on the ellipse x2/a2 =+ y2/b2 =1.whose distance from the centre of the ellipse is same and equal to (1/√2 ) x (√(a2+2b2). Find the eccentricity of the elipse.

2 Answers

262
Aditya Bhutra ·

the points have to be either the ends of major axis or ends of minor axis .

ends of minor axis is not possible since putting the given distance = b , we get a=0 .

hence the two points are the ends of major axis.

a = (1/√2 ) x √(a2+2b2)

a2=2b2

e= 1/√2

7
Sigma ·

Thanks, Aditya.

Your Answer

Close [X]