If the maximum value of `|3z +9 - 7i`| if `|z+2-i|=5` is 5K, then find k

If |z|lt=4 , then find the maximum value of |i z+3-4i|dot

Suppose that z is a complex number that satisfies |z-2-2i|lt=1. The maximum value of |2i z+4| is equal to _______.

If z is any complex number satisfying |z-3-2i|lt=2 then the maximum value of |2z-6+5i| is

Complex numbers z_1 , z_2 , z_3 are the vertices A, B, C respectively of an isosceles right angled trianglewith right angle at C and (z_1- z_2)^2 = k(z_1 - z_3) (z_3 -z_2) , then find k.

If z_1, z_2 and z_3 , are the vertices of an equilateral triangle ABC such that |z_1 -i = |z_2 -i| = |z_3 -i| .then |z_1 +z_2+ z_3| equals:

Evaluate the following if z = 5 -2i and w = -1 + 3i z - iw

Evaluate the following if z = 5 -2i and w = -1 + 3i zw

Evaluate the following if z = 5 -2i and w = -1 + 3i z + w

Find the radius and centre of the circle z bar(z) - (2 + 3i)z - (2 - 3i)bar(z) + 9 = 0 where z is a complex number

Prove that the value of the determinant |-7 5+3i2/3-4i5-3i8 4+5i2/3+4i4-fi9| is real.