A) \[8{{p}^{2}}+11p-7\]
B) \[2{{p}^{2}}+3p+5\]
C) \[3{{p}^{2}}+5p-4\]
D) \[5{{p}^{2}}-5p+9\]
Correct Answer: B
Solution :
Perimeter of triangle = Sum of all sides \[i.e.(6{{p}^{2}}-4p+9)=({{p}^{2}}-2p+1)\] \[+(3{{p}^{2}}-5p+3)+\]Third side \[\Rightarrow \]Third side\[=(6{{p}^{2}}-4p+9)-(4{{p}^{2}}-7p+4)\] \[=6{{p}^{2}}-4p+9-4{{p}^{2}}+7p-4\] \[=2{{p}^{2}}+3p+5\]
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