If z = `(1)/((2 + 3i)^(2))` then |z| =

If z_(1)=2+3i and z_(2)=3+2i , then |z_(1)+z_(2)| is equal to

If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

If | (z - i)/(z + 2i)| = 1, |z| = 5/2 then the value of |z + 3i|

If z_(1) = 1 +iand z_(2) = -3+2i then lm ((z_(1)z_(2))/barz_(1)) is

If z_(1) = 1 +iand z_(2) = -3+2i then lm ((z_(1)z_(2))/barz_(1)) is

If z_(1) = 3+ 2i and z_(2) = 2-i then verify that (i) bar(z_(1) + z_(2)) = barz_(1) + barz_(2)

If z_(1) = 3+ 2i and z_(2) = 2-i then verify that (i) bar(z_(1) + z_(2)) = barz_(1) + barz_(2)

Q.Let z_(1),z_(2),z_(3) be three vertices of an equilateral triangle circumscribing the circle |z|=(1)/(2), if z_(1)=(1)/(2)+sqrt(3)(i)/(2) and z_(1),z_(2),z_(3) are in anticlockwise sense then z_(2) is

If z_(1) = 3, z_(2) = -7i, and z_(3) = 5 + 4i, show that z_(1)(z_(2) + z_(3)) = z_(1) z_(2) + z_(1) z_(3)