JEE MAIN - Mathematics (2008 - No. 15)
A parabola has the origin as its focus and the line $$x=2$$ as the directrix. Then the vertex of the parabola is at :
$$(0,2)$$
$$(1,0)$$
$$(0,1)$$
$$(2,0)$$
Explanation
Vertex of a parabola is the mid point of focus and the point
where directrix meets the axis of the parabola.
Here focus is $$O\left( {0,0} \right)$$ and directrix meets the axis at $$B\left( {2,0} \right)$$
$$\therefore$$ Vertex of the parabola is $$(1,0)$$
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