wiz-icon
MyQuestionIcon
MyQuestionIcon
1
You visited us 1 times! Enjoying our articles? Unlock Full Access!
Question

The locus of the complex number z in the Argand plane if 1izzi=1 is

A
a circle
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
x-axis
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
C
y-axis
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
none of these
No worries! We‘ve got your back. Try BYJU‘S free classes today!
Open in App
Solution

The correct option is B x-axis
Let z=x+iy

Given, 1izzi=1

1i(x+iy)x+iyi=11+yixx+i(y1)=1

(1+y)2+x2x2+(y1)2=1

(1+y)2+x2=x2+(y1)2

1+y2+2y+x2=x2+y22y+1

4y=0

y=0,which is the equation of x-axis.

flag
Suggest Corrections
thumbs-up
0
Join BYJU'S Learning Program
similar_icon
Related Videos
thumbnail
lock
Equation of a Plane: Three Point Form and Intercept Form
MATHEMATICS
Watch in App
Join BYJU'S Learning Program
CrossIcon