# CBSE Class 11-science Answered

**<div> <p class="MsoNormal"><span style="font-size: 14.0pt; mso-bidi-font-size: 11.0pt; line-height: 115%;">The radius of the circle passing through the two foci and an end point of the minor axis of the ellipse x <sup>2</sup>/16 + y <sup>2</sup>/25 =1 is ?</span></p> </div>**

Asked by Malavika Umesh | 01 May, 2015, 01:52: PM

Expert Answer

For the ellipse , the major axis is along Y-axis and the minor axis is along X-axis. (since the denominator of x

^{2}term is less)Here

The coordinates of foci are

The end points of minor axis are

So, we have to form a circle passing through and one end point of minor axis .

Since, it's an isosceles triangle, the center lies on the perpendicular bisector of , that is X-axis.

Let the coordinates of the center be .

Equating the square of radii of the circle we get

Hence, radius=

Answered by satyajit samal | 03 May, 2015, 10:43: AM

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