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If z_1 , z_2, z_3 are three distinct complex numbers and a, b,

Question

If $z_{1}, z_{2}, z_{3}$ are three distinct complex numbers and $a, b, c$ are three positive real numbers such that
$\frac{a}{∣ z _{2} - z _{3} ∣} = \frac{b}{∣ z _{3} - z _{1} ∣} = \frac{c}{∣ z _{1} - z _{2} ∣}$ then $\frac{a ^{2}}{( z _{2} - z _{3} )} + \frac{b ^{2}}{( z _{3} - z _{1} )} + \frac{c ^{2}}{( z _{1} - z _{2} )} =$

0

ab c

3 ab c

a + b + c

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Liam Discussed

z_{1}, z_{2}, z_{3}

are three distinct complex numbers and

a, b, c

are three positive real numbers such that

\frac{a}{∣ z _{2} - z _{3} ∣} = \frac{b}{∣ z _{3} - z _{1} ∣} = \frac{c}{∣ z _{1} - z _{2} ∣}

then

\frac{a ^{2}}{( z _{2} - z _{3} )} + \frac{b ^{2}}{( z _{3} - z _{1} )} + \frac{c ^{2}}{( z _{1} - z _{2} )} =

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Question Text

z_{1}, z_{2}, z_{3}

are three distinct complex numbers and

a, b, c

are three positive real numbers such that

\frac{a}{∣ z _{2} - z _{3} ∣} = \frac{b}{∣ z _{3} - z _{1} ∣} = \frac{c}{∣ z _{1} - z _{2} ∣}

then

\frac{a ^{2}}{( z _{2} - z _{3} )} + \frac{b ^{2}}{( z _{3} - z _{1} )} + \frac{c ^{2}}{( z _{1} - z _{2} )} =

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