Axis of a parabola lies along x-axis. If its vertex and focus are at distances 2 and 4 respectively from the origin, on the positive x-axis then which of the following points does not lie on it?

Engineering

Mathematics

Standard Parabola

Question

(4, – 4)

$(6, 4 \sqrt{2})$

(8, 6)

$(5, 2 \sqrt{6})$

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Vertex is (2, 0)

a = 2

Any general point on given parabola can be taken as (2 + 2t², 4t) $\forall t \in R .$

(8, 6) does not lie on this.