Let `z_1 = 10 + 6i` and `z_2 = 4 + 6i`. If z is a complex number such that the argument of `(z-z_1)/(z-z_2) is pi/4`, then prove that ` |z - 7-9i| = 3 sqrt2`.

Let z_(1)=10+6i and z_(2)=4+6i. If z is a complex number such that the argument of (z-z_(1))/(z-z_(2))is(pi)/(4), then prove that |z-7-9i|=3sqrt(2)

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_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

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)

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)

Let z be complex number such that |(z-9)/(z+3)|=2 hen the maximum value of |z+15i| is

Let z be a complex number such that |z| + z = 3 + i (Where i=sqrt(-1)) Then ,|z| is equal to

Consider two complex numbers z_(1)=-3+2i, and z,=2-3i,z is a complex number such that arg((z-z_(1))/(z-z_(2)))=cos^(-1)((1)/(sqrt(10))) then locus of z is a circle whose radius is