Question

Find the radius of the circle passing through the foci of an ellipse 9xsquare +16ysquare =144 and having least radius

Answer 1

Answer:

find the radius of the circle passing through the fici of an ellipse 9xsquare +16ysquare =144 and having least radius

Answer 2

Answer:

Given ellipse 9Xsquare+16Xsquare=144

Here a=4,b=3,e=root7/4

Let equation of circle is Xsquare+Ysquare=Rsquare__(1)

(1) is passing through focii S(+-ae,0)

Then centre C(0,0)

Hence Sc=Radius (R)

Rsquare=(ae)whole square

             =4(root7/4)=root 7

Hence Radius R=root7