The curve is
.
Find the point that lies on the curve.
\Consider the point be
and it is closest to the origin
.
Hence the point is
.
The distanc between the points
and
is

The diatance is closest to
when its first derivative becomes zero.
Apply derivative on each side with respect to
.

.
Equate
to zero.

Substitute
in
.

Therefore the point lies on the curve which is closest to
is
.
The point lies on the curve which is closest to
is
.