Home
Class 11
MATHS
If z1,z2 are nonreal complex and |(z1+z2...

If `z_1`,`z_2` are nonreal complex and `|(z_1+z_2)/(z_1-z_2)|`=1 then `(z_1)/(z_2)` is

A

Positive real

B

Negative real

C

Zero or purely imaginary

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Similar Questions

Explore conceptually related problems

If z_1,z_2 are nonzero complex numbers then |(z_1)/(|z_1|)+(z_2)/(|z_2|)|le2 .

If z_1 and z_2 are two complex numbers for which |(z_1-z_2)(1-z_1z_2)|=1 and |z_2|!=1 then (A) |z_2|=2 (B) |z_1|=1 (C) z_1=e^(itheta) (D) z_2=e^(itheta)

Statement-1 If|z_1| and |z_2| are two complex numbers such that |z_1|=|z_2|+|z_1-z_2|, then Im(z_1/z_2)=0 and Statement-2: arg(z)=0 =>z is purely real

If z_(1)&z_(2) are two complex numbers & if arg (z_(1)+z_(2))/(z_(1)-z_(2))=(pi)/(2) but |z_(1)+z_(2)|!=|z_(1)-z_(2)| then the figure formed by the points represented by 0,z_(1),z_(2)&z_(1)+z_(2) is:

For complex numbers z_1 = 6+3i, z_2=3-I find (z_1)/(z_2)