If`|z|` = 2 and the locus of 5z-1 is the circle having radius 'a' and `z_1^2 + z_2^2 - 2 z_1 z_2 cos theta = 0` then `|z_1| : |z_2|` =

If |z|=2 and the locus of 5z-1 is the circle having radius 'a' and z_(1)^(2)+z_(2)^(2)-2z_(1)z_(2)cos theta=0 then |z_(1)|:|z_(2)|=

If |z|=2 and locus of 5z-1 is the circle having radius a and z_1^2+z_2^2-2z_1z_2 cos theta=0, then |z_1|:|z_2|= (A) a (B) 2a (C) a/10 (D) none of these

If |z|=2 and locus of 5z-1 is the circle having radius a and z_1^2+z_2^2-2z_1z_2 cos theta=0, then |z_1|:|z_2|= (A) a (B) 2a (C) a/10 (D) none of these

If |z_1|=|z_2|=1 , then |z_1+z_2| =

Let z_1=2- 3i and z_2= 5 + 12i , verify that : |z_1+z_2| <|z_1|+|z_2| .

Let z_1=2- 3i and z_2= 5 + 12i , verify that : |z_2-z_1| >|z_2|-|z_1| .

If for complex numbers z_1 and z_2 , arg(z_1) - arg(z_2)=0 , then show that |z_1-z_2| = | |z_1|-|z_2| |

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :

If z_1ne-z_2 and |z_1+z_2|=|1/z_1 + 1/z_2| then :