First slide

Parabola

Question

A parabola has the origin as its focus and the line $x = 2$ as the directrix. Then the vertex of the parabola is at

Moderate

A

$(2, 0)$
B

$(0, 2)$
C

$(1, 0)$
D

$(0, 1)$

Solution

Vertex is equidistant from the focus and the directrix and hence its coordinates are (1, 0).

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