Asked by  | 16th Jun, 2008, 01:53: PM

Expert Answer:

The focus of the parabola is at (0,0) and the directrix is the line x=2 thus the axis of the parabola is the x axis and the parabola is a parabola opening towards the left.

The vertex of the parabola is a point on the parabola and is hence equidistant from the directrix and the focus.

Also the vertex has to lie on the axis. Thus the vertex is a point lying on the x axis equidistant from both the origin and the directrix.

Thus the required point is (1,0)

Answered by  | 18th Jun, 2008, 10:08: AM

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