If z-1z-i is a purely imaginary number- then z lies on a

The correct options are B circle C circle with radius =1/√(2) D circle passing through the origin ...

248

You visited us 248 times! Enjoying our articles? Unlock Full Access!

Distance Formula

If z+1z+i i...

Question

If $\frac{z + 1}{z + i}$ is a purely imaginary number, then $z$ lies on a

straight line

No worries! We‘ve got your back. Try BYJU‘S free classes today!

circle

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

circle with radius

= 1 / \sqrt{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

circle passing through the origin

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

Open in App

Solution

Suggest Corrections

Similar questions

\frac{z + 1}{z + i}

\frac{z + 1}{z + i}

When $\frac{z + i}{z + 2}$ is purely imaginary then z lies on

P

z

P

\frac{z - i}{z - 1}

z

(\frac{1}{2}, \frac{1}{2})

\frac{1}{\sqrt{2}} .

z = x + i y

\frac{| z - 5 i |}{| z + 5 i |} = 1

z

Join BYJU'S Learning Program