Home
Class 11
MATHS
If z is a complex number such that -pi//...

If `z` is a complex number such that `-pi//2lt=a r g zlt=pi//2,` then which of the following inequality is true? (a)`|z- z |lt=|z|(a r g z-a r g z )` b. `|z- z |geq|z|(a r g z-a r g z )` c.`|z- z |<(a r g z-a r g z )` d. none of these

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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

Prove that following inequalities: |z/(|z|)-1|lt=|a rgz| (ii) |z-1|lt=|z||argz|+||z|-1|

If z!=0 is a complex number, then prove that R e(z)=0 rArr Im(z^2)=0.

If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of possible values of z is

If z_1a n dz_2 are two complex numbers such that |z_1|=|z_2|a n d arg(z_1)+a r g(z_2)=pi , then show that z_1,=-( barz )_2dot

Let z be not a real number such that (1+z+z^2)//(1-z+z^2) in R , then prove tha |z|=1.

It z_(1) and z_(2) are two complex numbers, such that |z_(1)| = |z_(2)| , then is it necessary that z_(1) = z_(2) ?