Home
Class 12
MATHS
Consider z(1)andz(2) are two complex num...

Consider `z_(1)andz_(2)` are two complex numbers
such that `|z_(1)+z_(2)|=|z_(1)|+|z_(2)|`
Statement `-1` `arg (z_(1))-arg(z_(2))=0`
Statement `-2` The complex numbers `z_(1)` and `z_(2)` are collinear.

Promotional Banner

Similar Questions

Explore conceptually related problems

z_(1) and z_(2) are two complex number such that |z_(1)|=|z_(2)| and arg (z_(1))+arg(z_(2))=pi , then show that z_(1)=-barz_(2)

If z_1 and z_2 , are two non-zero complex numbers such tha |z_1+z_2|=|z_1|+|z_2| then arg(z_1)-arg(z_2) is equal to

State true of false for the following: Let z_(1) and z_(2) be two complex number's such that |z_(1)+z_(2)|=|z_(1)|+|z_(2)| then arg (z_(1)-z_(2))=0

|z_(1)+z_(2)|=|z_(1)|+|z_(2)| is possible, if

The number of complex numbers z such that |z-1|=|z+1|=|z-i| is

A complex number z is said to be unimodular if abs(z)=1 . Suppose z_(1) and z_(2) are complex numbers such that (z_(1)-2z_(2))/(2-z_(1) bar z_(2)) is unimodular and z_(2) is not unimodular. Then the point z_(1) lies on a

For any two complex numbers z_(1) and z_(2) , prove that Re ( z_(1)z_(2)) = Re z_(1) Re z_(2)- 1mz_(1) Imz_(2)

If z and we are two complex numbers such that |zw|=1 and arg(z)-arg(w)=(pi)/(2) then show that barzw=-i

If z_1a n dz_2 are two complex numbers and c >0 , then prove that |z_1+z_2|^2lt=(1+c)|z_1|^2+(1+c^(-1))|z_2|^2dot

If the complex numbers z_(1) and z_(2) arg (z_(1))- arg(z_(2))=0 then showt aht |z_(1)-z_(2)|=|z_(1)|-|z_(2)| .