Consider a circle with its center lying on the focus of the parabola such that it touches the directrix of the parabola. Then a point of intersection of the circle and parabola is
The focus of the parabola is
And directrix is .
Here,
Center of the circle is
and radius is .
Equation of the circle is .
For pts of intersection of —--(i)
And —-------(ii)
From (i) and (ii)
( Not Possible)
So the required points are
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