Solve the Problem $x = t ^ { 2 } , y = t , * < t < \infty$

Multiple Choice

Solve the problem.
-Find the point on the parabola $x = t ^ { 2 } , y = t , * < t < \infty$ , closest to the point $\left( \frac { 1 } { 2 } , 54 \right)$ , (Hint: Minimize the square of the distance as a function of $\mathrm { t }$ .)

A) $( 0,0 )$
B) $( 36,6 )$
C) $( 9,3 )$
D) $\left( \frac { 9 } { 4 } , \frac { 3 } { 2 } \right)$