Focus of the conic is at origin.
\Case (I) :
\If the point is in rectangular coordinates :
To find the distance between the point and focus, use the distance formula.
Distance between the focus and the point is
.
Case (II) :
\If the point is in polar coordinates :
To find the distance between the point and focus, use the distance formula.
Distance between the focus and the point is
.
Case (III) :
\If the angle is provided.
Substitute the value of in the conic equation and solve it for
.
Distance between the focus and the point is
.
If the point is in rectangular coordinates then distance is
.
If the point is in polar coordinates then distance is
.
If the angle is provided, distance is
.