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Problem
Problem
If the orthocentre of the triangle formed by the points
t
1
,
t
2
,
t
3
t_1, t_2, t_3
t
1
,
t
2
,
t
3
on the parabola
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
is the focus, the value of
∣
t
1
t
2
+
t
2
t
3
+
t
3
t
1
∣
|t_1t_2 + t_2t_3 + t_3t_1|
∣
t
1
t
2
+
t
2
t
3
+
t
3
t
1
∣
is
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