wiz-icon
MyQuestionIcon
MyQuestionIcon
14
You visited us 14 times! Enjoying our articles? Unlock Full Access!
Question

If z2z3=2 represents a circle whose radius is r, then the value of 3r is

Open in App
Solution

Let z=x+iy
z2z3=2|z2|2=4|z3|2(x2)2+y2=4[(x3)2+y2]3x2+3y224x+4x+364=0x2+y2203x+323=0
Radius of the circle is
r=1009323r=233r=2

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
Join BYJU'S Learning Program
CrossIcon