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_(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)

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

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)

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

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

If z_1 = 8 + 4i, z_2 = 6 + 4iand arg ((z-z_1) / (z-z_2)) = pi / 4, then 'z' satisfies 1) | z-7-4i | = 1 2) | z-7-5i | = sqrt (2) 3) | z-4i | = 8 4) | z-7i | = sqrt (18)

For a complex number z, if arg(z) in (-pi, pi], then arg(1+cos.(6pi)/(5)+I sin.(6pi)/(5)) is (here i^(2)-1 )