In triangle ABC, the complex numbers representing the vertices A, B, C are `2i,-1-sqrt(3)i,1-sqrt(3)i` respectively the altitude from B on AC intersects the 'circum-circle' of `triangleABC` at `D(z_0)`. Then the complex number `(z_0)` is

Let A(5i),B(3+4i)&C(4+3i) be the vertices of a triangle.Altitude on BC meets the circumcircle of ABC at D. Find the complex number representing D.

Represent the complex number z=1+sqrt3i in the polar form.

Represent the complex number z=1+i sqrt(3) in the polar form.

A, B, C are the points representing the complex numbers z_1, z_2, z_3 respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude AD of the triangle ABC meets the circumcircle again at P, then P represents the complex number

If z complex number satisfying |z-3|<=5 then range of |z+3i| is (where i= sqrt(-1) )

Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0

A, B, C are the point representing the complex numbers z_1,z_2,z_3 respectively on the complex plane and the circumcentre of the triangle ABC lies at the origin. If the altitude of the triangle through the vertex A meets the circumcircel again at P, then prove that P represents the complex number -(z_2z_3)/(z_1)

If z_1,z_2,z_3 be the vertices A,B,C respectively of an equilateral trilangle on the Argand plane and |z_1|=|z_2|=|z_3| then (A) Centroid oif the triangle ABC is the complex number 0 (B) Distance between centroid and orthocentre of the triangle ABC is 0 (C) Centroid of the tirangle ABC divides the line segment joining circumcentre and orthcentre in the ratio 1:2 (D) Complex number representing the incentre of the triangle ABC is a non zero complex number

If z_1,z_2,z_3 be the vertices A,B,C respectively of an equilateral trilangle on the Argand plane and |z_1|=|z_2|=|z_3| then (A) Centroid oif the triangle ABC is the complex number 0 (B) Distance between centroid and orthocentre of the triangle ABC is 0 (C) Centroid of the tirangle ABC divides the line segment joining circumcentre and orthcentre in the ratio 1:2 (D) Complex number representing the incentre of the triangle ABC is a non zero complex number