A) \[\frac{\sqrt{3}}{2}\]
B) \[\frac{5}{4}\]
C) \[\frac{3}{2}\]
D) \[\frac{\sqrt{5}}{2}\]
Correct Answer: D
Solution :
\[(t,\,\,\sqrt{t})\,\left( \frac{3}{2},\,\,0 \right)\] (distance)2 \[=\,\,{{\left( \frac{3}{2}-t \right)}^{2}}+{{(\sqrt{t})}^{2}}={{(t-1)}^{2}}+\frac{5}{4}\]square of minimum (distance) \[=\,\,\frac{5}{4}\,\,at\,(1,\,\,1)\] minimum distance = \[\frac{\sqrt{5}}{2}\]
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