A) \[{{(RX)}^{2}}\]
B) \[2{{(RX)}^{2}}\]
C) \[3{{(RX)}^{2}}\]
D) \[2RX\]
Correct Answer: C
Solution :
[c] Altitude of an equilateral triangle PQR, |
i.e., \[PX=(Side)\frac{\sqrt{3}}{2}=QR\frac{\sqrt{3}}{2}=2(RX)\frac{\sqrt{3}}{2}\,\,\,\,\,\,\,(QX=RX)\] |
\[\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,PX=\sqrt{3}\,\,(RX)\] |
Hence, \[P{{X}^{2}}=3{{(RX)}^{2}}\] |
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