A) \[\frac{a+b+c}{\Delta }\]
B) \[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{4{{\Delta }^{2}}}\]
C) \[\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{{{\Delta }^{2}}}\]
D) None of these
Correct Answer: B
Solution :
We have \[\frac{1}{2}a{{p}_{1}}=\Delta ,\frac{1}{2}b{{p}_{2}}=\Delta ,\frac{1}{2}c{{p}_{3}}=\Delta \] Þ \[{{p}_{1}}=\frac{2\Delta }{a},{{p}_{2}}=\frac{2\Delta }{b},{{p}_{3}}=\frac{2\Delta }{c}\] \ \[\frac{1}{p_{1}^{2}}+\frac{1}{p_{2}^{2}}+\frac{1}{p_{3}^{2}}=\frac{{{a}^{2}}+{{b}^{2}}+{{c}^{2}}}{4{{\Delta }^{2}}}\].
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