A) \[2+3\sqrt{15}\]
B) \[2-3\sqrt{15}\]
C) \[2\pm 3\sqrt{15}\]
D) \[3\pm 2\sqrt{15}\]
Correct Answer: D
Solution :
\[{{(a-3)}^{2}}+{{(2-4)}^{2}}={{8}^{2}}\,\,\Rightarrow \,\,{{(a-3)}^{2}}=60\] \[\Rightarrow \,\,a-3=\pm \,2\sqrt{15}\,\,\Rightarrow \,\,a=3\,\,\pm \,2\sqrt{15}\].
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