COMPLEX NUMBERS | GEOMETRICAL REPRESENTATION OF A COMPLEX NUMBER, IMPORTANT RESULTS | Geometrical Representation Of A Complex Number, Geometrical Representation Of A Complex Number in vector form, Polar and Euler form of Complex numbers, Euler Form and Logarithm of a Complex number, Geometrical meaning of addition and subtraction of complex number, Find the greatest and least value of `|z_1+z_2|`; if `z_1=24+7i` and `|z_2|=6`., If `z_1, z_2 and z_3` are the vertices of an equilateral triangle, then `1/(z_1-z_2)+1/(z_2-z_3)+1/(z_3-z_1)=0`, If `a,b,c` and `u,v,w` are complex no. representing the vertices of two triangles such that they are similar then `[[a,u,1],[b,v,1],[c,w,1]]=0`, Intercept made by the circle `zbarz+bara+abarz+r=0` on the real axis on complex plane is `sqrt((a+bara)^2-4r)`, Two different non parallel lines cut the circle `|z|=r` at points `a,b,c,d` respectively. Prove that these lines meet at a point given by `(a^(-1)+b^(-1)-c^(-1)-d^(-1))/(a^(-1)b^(-1)-c^(-1)d^(-1))`., Prove that the circle `zbarz+zbara_1+barza_1+b_1=0; b_1inRR` and `zbarz+zbara_2+barza_2+b_2=0, b_2inRR` will intersect orthogonally if `2Re(a_1bara_2)=b_1+b_2`.