Axis of a parabola lies along the . If its vertex and focus are at distances
and
respectively from the origin, on the positive X-axis, then which of the following points does not lie on it?
According to given information, we have the following figure
Now, if the origin is shifted to and
are the coordinates with respect to new origin, then the axis of the parabola lies along the x-axis, the equation of the parabola can be written as:
where a is the distance from the vertex to the focus, and x is the distance from the vertex to any point on the parabola.
,
And
and
And, (8, 6) is the only point which does not satisfy the equation.
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