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Problem
Problem
Consider a circle with its centre lying on the focus of the parabola
y
2
=
2
a
x
y^2 = 2ax
y
2
=
2
a
x
such that it touches the directrix of the parabola. Then a point of intersection of the circle and the parabola is a.
(
a
2
,
a
)
\left(\frac{a}{2}, a\right)
(
2
a
,
a
)
b.
(
a
2
,
−
a
)
\left(\frac{a}{2}, -a\right)
(
2
a
,
−
a
)
c.
(
−
a
2
,
a
)
\left(-\frac{a}{2}, a\right)
(
−
2
a
,
a
)
d.
(
−
a
2
,
−
a
)
\left(-\frac{a}{2}, -a\right)
(
−
2
a
,
−
a
)
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