Let `z_1=6+i and z_2=4-3i`. If z is a complex number such thar arg `((z-z_1)/(z_2-z))= pi/2` then (A) `|z-(5-i)=sqrt(5)` (B) `|z-(5+i)=sqrt(5)` (C) `|z-(5-i)|=5` (D) `|z-(5+i)|=5`

Let z_(1)=6+i&z_(2)=4-3i Let z be a a complex number such that arg((z-z_(1))/(z-z_(2)))=(pi)/(2) then z satisfies

Let z be a complex number such that |(z-5i)/(z+5i)|=1 , then show that z is purely real

If z is a complex number such that |z|=4 and arg(z)=(5 pi)/(6), then z is equal to -2sqrt(3)+2i b.2sqrt(3)+i c.2sqrt(3)-2i d.-sqrt(3)+i

If z_1=10+6i and z_2=4+2i be two complex numbers and z be a complex number such that a r g((z-z_1)/(z-z_2))=pi/4 , then locus of z is an arc of a circle whose (a) centre is 5+7i (b) centre is 7+5i (c) radius is sqrt(26) (d) radius is sqrt(13)

If z_1=10+6i and z_2=4+2i be two complex numbers and z be a complex number such that a r g((z-z_1)/(z-z_2))=pi/4 , then locus of z is an arc of a circle whose (a) centre is 5+7i (b) centre is 7+5i (c) radius is sqrt(26) (d) radius is sqrt(13)

Let z be a complex number satisfying (3+2i) z +(5i-4) bar(z) =-11-7i .Then |z|^(2) is

If z 1 =5+3i and z 2=2−3i Find z 1+z 2 ​

Z is a complex number. If I Z l = 4 and arg(Z)=(5pi)/6 ,then the value of Z is