Find the greatest and the least value of `|z_1+z_2|` if`z_1=24+7ia n d|z_2|=6.`

The least value of |z+(1)/(z)|" if "|z|ge 3 is

Given z_1 = 4 - 7i and z_2 = 5 + 6i find the additive and multiplicative inverse of z_1 + z_2 and z_1 - z_2 .

If | z - (3)/(z) | = 2, then the least value of |z| is

Find the minimum value of |z-1 if ||z-3|-|z+1||=2.

If |z_1-1|lt=1,|z_2-2|lt=2,|z_(3)-3|lt=3, then find the greatest value of |z_1+z_2+z_3|dot

If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition that ((w- barw z)/(1-z)) is a purely real, then the set of values of z is |z|=1,z!=2 (b) |z|=1a n dz!=1 z= z (d) None of these

If |z = (2)/(z)| = 2. show that the greatest and least value of |z| are sqrt(3)+1 and sqrt(3) - 1 respectively.

It is given that complex numbers z_1a n dz_2s a t i sfy|z_1|=22a n d|z_2|=3. If the included angled of their corresponding vectors is 60^0 , then find the value of |(z_1+z_2)/(z_1-z_2)| .

If 2z_1//3z_2 is a purely imaginary number, then find the value of "|"(z_1-z_2")"//(z_1+z_2)|dot