Download the app

Algebra of complex numbers

Unlock the full solution & master the concept.

Get a detailed solution and exclusive access to our masterclass to ensure you never miss a concept
By Expert Faculty of Sri Chaitanya
Question

The complex number z, satisfies the condition z25z=24  The maximum distance from the  origin of coordinates to the point  z, is 

Moderate
Solution

We have,   |z|=z+25z25zz+25z+25z

      |z|24+25|z|    |z|224|z|250(|z|25)(|z|+1)0                |z|250                                                       [|z|+1>0]                                       |z|25 or |z0|25

Hence, the maximum distance from the origin of coordinates to

 the point z is 25.


NEW

Ready to Test Your Skills?

Check Your Performance Today with our Free Mock Tests used by Toppers!

Talk to our academic expert!

+91

Are you a Sri Chaitanya student?


ctaimg

Create Your Own Test
Your Topic, Your Difficulty, Your Pace


ctaimg

Similar Questions

Let i=1, define a sequence of a complex number by  z1=0,zn+1=zn2+i for n1.In the complex plane,  how far from the origin z111 ?

Get your all doubts cleared from
Sri Chaitanya experts

counselling
india
+91

phone iconwhats app icon