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If (2, 0) is the vertex and y-axis the d...

If `(2, 0)` is the vertex and y-axis the directrix of a parabola then its focus is

A

(0, 0)

B

(-2, 0)

C

(4, 0)

D

(-4, 0)

Text Solution

Verified by Experts

The correct Answer is:
C
Vertex is (2, 0). Since, y-axis is the directrix of a parabola. Equation directrix is x=0. So, axis of parabola is x-aixs.
Let the focus be (a, 0)

Distance of the vertex of a parabola from directrix = its distance from
So, `OV=VFrArr(2-0)^(2)=(a-2)^(2)`
`rArr" "a^(2)=4a Ϸ a=4`
`rArr" Focus is (4, 0)"`
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