A) 14
B) 16
C) 18
D) 13
Correct Answer: D
Solution :
\[{{R}_{\max }}=A+B=17\] when \[\theta =0{}^\circ \] \[{{R}_{\min }}=A-B=7\] when \[\theta =180{}^\circ \] by solving we get \[A=12\] and \[B=5\] Now when \[\theta =90{}^\circ \] then \[R=\sqrt{{{A}^{2}}+{{B}^{2}}}\] Þ\[R=\sqrt{{{(12)}^{2}}+{{(5)}^{2}}}\]\[=\sqrt{169}\]\[=13\]
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