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Problem
If the equation of two curves is
y
2
=
4
a
x
y^2 = 4ax
y
2
=
4
a
x
and
x
2
=
4
a
y
x^2 = 4ay
x
2
=
4
a
y
. (i) Find the angle of intersection of two curves. (ii) Find the equation of common tangents to these curves.
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