For complex numbers \( z_{1}, z_{2} \) and \( z \) satisfying \( \frac{z_{1}-z_{3}}{z_{2}-z_{3}}....

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For complex numbers \( z_{1}, z_{2} \) and \( z \) satisfying
\( \mathrm{P} \)
\( \frac{z_{1}-z_{3}}{z_{2}-z_{3}}=\frac{1-i \sqrt{3}}{2} \) are the vertices of a triangle which is
(1) of area \( \sqrt{3} \) sq unit
(2) right-angled and isosceles
(3) equilateral
(4) obtuse-angled and isosceles


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