Home
Class 12
MATHS
If z1 and z2 are two complex number such...

If `z_1 and z_2` are two complex number such that `|(z_1-z_2)/(z_1+z_2)|=1`, Prove that `iz_1/z_2=k` where k is a real number Find the angle between the lines from the origin to the points `z_1 + z_2` and `z_1-z_2` in terms of k

Promotional Banner

Similar Questions

Explore conceptually related problems

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

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)

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

If z_1,z_2 and z_3,z_4 are two pairs of conjugate complex numbers then arg(z_1/z_4)+arg(z_2/z_3)=

Solve the equation z^2 +|z|=0 , where z is a complex number.

Fill in the blanks of the following If z_(1) and z_(2) are complex numbers such that z_(1)+z_(2) is a real number, then z_(1)=

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_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 z is a complex number such that |z|>=2 then the minimum value of |z+1/2| is

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.