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General Equation of Parabola

Axis of a par...

Question

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?

A

(4, - 4)

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B

(5, 2 \sqrt{6})

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C

(8, 6)

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D

6, 4 \sqrt{2}

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Solution

The correct option is C $(8, 6)$
Equation of parabola is
$y^{2} = 8 (x - 2)$
$(8, 6)$ does not lie on parabola.

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