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  4. 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 ?

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Q. 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 ?

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Solution:

equation of parabola is
$y^2 = 8 (x - 2)$
$(8, 6)$ does not lie on parabola.

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