Categories > coordinate > Points related to triangle (Orthocente > If $A({{x}_{1}},{{y}_{1}}),\ B({{x}_{2}},{{y}_{2}})$ and $C({{x}_{3}},{{y}_{3}})$ are the vertices of a triangle, then the excentre with respect to B is

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Question: If $A({{x}_{1}},{{y}_{1}}),\ B({{x}_{2}},{{y}_{2}})$ and $C({{x}_{3}},{{y}_{3}})$ are the vertices of a triangle, then the excentre with respect to B is


1) $\left( \frac{a{{x}_{1}}-b{{x}_{2}}+c{{x}_{3}}}{a-b+c},\,\frac{a{{y}_{1}}-b{{y}_{2}}+c{{y}_{3}}}{a-b+c} \right)$
2) $\left( \frac{a{{x}_{1}}+b{{x}_{2}}-c{{x}_{3}}}{a+b-c},\,\frac{a{{y}_{1}}+b{{y}_{2}}-c{{y}_{3}}}{a+b-c} \right)$
3) $\left( \frac{a{{x}_{1}}-b{{x}_{2}}-c{{x}_{3}}}{a-b-c},\,\frac{a{{y}_{1}}-b{{y}_{2}}-c{{y}_{3}}}{a-b-c} \right)$
4) None of these
Solution: Explanation: No Explanation
Points related to triangle (Orthocente Circumcentre Incentre) Area of some geometrical figures Collinearity

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