If 'z' be any complex number such that `|3z-2|+|3z+2|=4`, then identify the locus of 'z'.

If z=x+iy is a complex number such that |z|=Re(iz)+1 , then the locus of z is

If z is a complex number such that Re (z) = Im (z), then :

If z is a complex number such that z+ |z|=8 +12i then the value of |z^2| is

Let z=x+iy be a complex number such that |z+i|=2 . Then the locus of z is a circle whose centre and radius are

Let x_1 and y_1 be real numbers. If z_1 and z_2 are complex numbers such that |z_1| = |z_2|=4 , then |x_1 z_1 - y_1 z_2|^(2) + |y_1 z_1 + x_1 z_2 |^(2) is equal to

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Find overline z

If |z+bar(z)|= |z-bar(z)| , then the locus of z is

If z is a complex number with absz=2 and arg(z)=(4pi)/3 . then Verify that (overline z)^2=2z

If z_(1), z_(2),……..,z_(n) are complex numbers such that |z_(1)| = |z_(2)| = …….. = |z_(n)| = 1 , then |z_(1) + z_(2) +……..+ z_(n)| is equal to a) |z_(1)z_(2)z_(3)…..z_(n)| b) |z_(1)|+|z_(2)|+…….+|z_(n)| c) |(1)/(z_(1)) + (1)/(z_(2)) + ……….+ (1)/(z_(n))| d)n

If z_(1) and z_(2) are two non-zero complex numbers such that |z_(1) + z_(2)| = |z_(1)| + |z_(2)| , then arg ((z_(1))/(z_(2))) is equal to a)0 b) -pi c) -(pi)/(2) d) (pi)/(2)