## Question

A point on the ellipse at a distance equal to the mean of lengths of the semi-major and semi-minor axis from the centre, is

### Solution

Let be a point on the given ellipse such that its distance from the centre (0, 0) of the ellipse is equal to the mean of the lengths of the semi-major and semi-minor axis i.e.,

Hence, the required points are given by

.

#### SIMILAR QUESTIONS

The slope of a common tangent to the ellipse and *a*concentric circle of radius *r* is

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