Show that the area of the triangle on the Argand diagram formed by the complex number `z ,i za n dz+i z` is `1/2|z|^2`

Show that the area of the triangle on the Argand diagram formed by the complex numbers z, zi and z+ zi is =(1)/(2) |z|^(2)

Area of the triangle formed by 3 complex numbers, 1+i,i-1,2i , in the Argand plane, is

If z is any complex number, then the area of the triangle formed by the complex number z, wz and z+wz as its sides, is

If the area of the triangle on the complex plane formed by complex numbers z, omegaz is 4 sqrt3 square units, then |z| is

The area of the triangle formed by the points representing -z,iz and z-iz in the Argand plane, is

The maximum area of the triangle formed by the complex coordinates z, z_1,z_2 which satisfy the relations |z-z_1|=|z-z_2| and |z-(z_1+z_2 )/2| |z_1-z_2| is

Express in the form of complex number z= (5-3i)(2+i)

Let z_1,z_2,z_3 be three distinct non zero complex numbers which form an equilateral triangle in the Argand pland. Then the complex number associated with the circumcentre of the tirangle is (A) (z_1 z_2)/z_3 (B) (z_1z_3)/z_2 (C) (z_1+z_2)/z_3 (D) (z_1+z_2+z_3)/3

Locate the point representing the complex number z on the Argand diagram for which |i-1-2z| gt 9 .

If z_(1), z_(2), z_(3), z_(4) are complex numbers, show that they are vertices of a parallelogram In the Argand diagram if and only if z_(1) + z_(3)= z_(2) + z_(4)