If $(x_{i}, y_{i}), i = 1, 2, 3,$ are the vertices of an equilateral triangle such that $(x_{1} + 2)^{2} + (y_{1} - 3)^{2} = (x_{2} + 2)^{2} + (y_{2} - 3)^{2} = (x_{3} + 2)^{2} + (y_{3} - 3)^{2},$ then find the value of $\frac{x _{1} + x _{2} + x _{3}}{y _{1} + y _{2} + y _{3}}$ .

Views: 829 students

Found 5 tutors discussing this question

Scarlett Discussed

(x_{i}, y_{i}), i = 1, 2, 3,

are the vertices of an equilateral triangle such that

(x_{1} + 2)^{2} + (y_{1} - 3)^{2} = (x_{2} + 2)^{2} + (y_{2} - 3)^{2} = (x_{3} + 2)^{2} + (y_{3} - 3)^{2},

then find the value of

\frac{x _{1} + x _{2} + x _{3}}{y _{1} + y _{2} + y _{3}}

6 mins ago

Discuss this question LIVE

6 mins ago

Question Text

(x_{i}, y_{i}), i = 1, 2, 3,

are the vertices of an equilateral triangle such that

(x_{1} + 2)^{2} + (y_{1} - 3)^{2} = (x_{2} + 2)^{2} + (y_{2} - 3)^{2} = (x_{3} + 2)^{2} + (y_{3} - 3)^{2},

then find the value of

\frac{x _{1} + x _{2} + x _{3}}{y _{1} + y _{2} + y _{3}}

Filo tutor solution