question_answer

Direction: Study the following information carefully and answer the questions given below:

Point P is 6m south of point Q. Point R is 10m west of Point P. Point S is 6m south of Point R. Point T is 5m east of Point S. Point U is 6m south of Point T.

What is the shortest distance between S and Q?

A) \[\sqrt{122}m\]

B) \[\sqrt{61}m\]

C) \[\sqrt{2\times 31}m\]

D) \[2\sqrt{61}m\]

E)  \[\sqrt{488}m\]

Correct Answer: D

Solution :

\[SQ=\sqrt{S{{O}^{2}}+O{{Q}^{2}}}=\sqrt{{{(10)}^{2}}+{{(12)}^{2}}}\] \[=\sqrt{244}m=2\sqrt{61}m\]