﻿ The focus of an ellipse is (–1, –1) and the corresponding directix is x – y + 3 = 0. If the eccentricity of the ellipse is 1/2, then the coordinates of the centre of the ellipse are  : Kaysons Education

# The Focus Of An Ellipse Is (–1, –1) And The Corresponding Directix Is x – y + 3 = 0. If The Eccentricity Of The Ellipse Is 1/2, Then The Coordinates Of The Centre Of The Ellipse Are

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## Question

### Solution

Correct option is

The equation of the axis of the ellipse is

Solving this equation with x – y + 3 = 0, we obtain that the coordinates of z are

Since A and A’ divide SZ internally and externally respectively in the ration e : 1 i.e. 1 : 2. So, their coordinates are

As C is the mid point of AA’. So, its coordinates are

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