A) \[\left( \frac{{{x}_{1}}+{{y}_{1}}}{2},\ \frac{{{x}_{2}}+{{y}_{2}}}{2} \right)\]
B) \[\left( \frac{{{x}_{1}}-{{y}_{1}}}{2},\ \frac{{{x}_{2}}-{{y}_{2}}}{2} \right)\]
C) \[\left( \frac{{{x}_{1}}+{{x}_{2}}}{2},\ \frac{{{y}_{1}}+{{y}_{2}}}{2} \right)\]
D) \[\left( \frac{{{x}_{1}}-{{x}_{2}}}{2},\ \frac{{{y}_{1}}-{{y}_{2}}}{2} \right)\]
Correct Answer: C
Solution :
\[({{x}_{1}},\ {{y}_{1}})\] and\[({{x}_{2}},\ {{y}_{2}})\]are extreme points of diameter. Hence centre is \[\left( \frac{{{x}_{1}}+{{x}_{2}}}{2},\ \frac{{{y}_{1}}+{{y}_{2}}}{2} \right)\].
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