In the adjoining fig., 21 Z3 and Z2 Z4 show that A ZC. added A also same

If |z| = 1, show that 2 le |z^(3) - 3| le 4.

If z_1 = 4 - 7i , z_2 = 2 + 3i and z_3 = 1 + i show that z_1 + (z_2 + z_3) = (z_1 + z_2)+z_3

In the diagram as shown, find parameters representing x and y axes and also parameter Z , if Z_(1) = Z_(2), Z_(3) = Z_(4) and Z_(2) gt Z_(3) :

In the diagram as shown, find parameters representing x and y axes and also parameter Z , if Z_(1) = X_(2), Z_(3) = Z_(4) and Z_(2) gt Z_(3) :

If z = 2-3i , show that z^2- 4z+13= 0 and hence find the value of 4z^3 - 3z^2 + 169 .

If z_1 = 2 + 3i and z_2= 3 +i , plot the number z_1+ z_2 . Also show that : |z_1|+|z_2| > |z_1+z_2| .

If z_(1) = 1 - 3i, z_(2) = -4i and z_(3) = 5, show that (z_(1) + z_(2)) + z_(3) = z_(1) + (z_(2) + z_(3))

If z_1, z_2, z_3, z_4 are the affixes of four point in the Argand plane, z is the affix of a point such that |z-z_1|=|z-z_2|=|z-z_3|=|z-z_4| , then z_1, z_2, z_3, z_4 are