If `|z|= 3`, then point represented by `2-z` lie on the circle

If z_1, z_2, z_3 are complex numbers such that (2//z_1)=(1//z_2)+(1//z_3), then show that the points represented by z_1, z_2, z_3 lie one a circle passing through the origin.

If z_1, z_2, z_3 are complex numbers such that (2//z_1)=(1//z_2)+(1//z_3), then show that the points represented by z_1, z_2()_, z_3 lie one a circle passing through e origin.

If z_1, z_2, z_3 are complex numbers such that (2//z_1)=(1//z_2)+(1//z_3), then show that the points represented by z_1, z_2()_, z_3 lie on a circle passing through the origin.

If z_1,z_2,z_3 are complex numbers such that 2/z_1=1/z_2 + 1/z_3 , show that the points represented by z_1,z_2,z_3 lie on a circle passing through the origin.

If z_(1),z_(2),z_(3) are complex numbers such that (2/z_(1))=(1/z_(2))+(1/z_(3)), then show that the points represented by z_(1),z_(2),z_(3) lie one a circle passing through e origin.

If |z|=1, then the point representing the complex number -1+3z will lie on a. a circle b. a parabola c. a straight line d. a hyperbola

If |z|=1, then the point representing the complex number -1+3z will lie on a.a circle b.a parabola c.a straight line d.a hyperbola

If |z|=1, then the point representing the complex number -1+3z will lie on a. a circle b. a parabola c. a straight line d. a hyperbola

If |z|=1, then the point representing the complex number -1+3z will lie on a. a circle b. a parabola c. a straight line d. a hyperbola

Let z_1, z_2 be two complex numbers represented by points on the circle |z_1|= and and |z_2|=2 are then