0

Guest

Courses New

if z to the power 11 + z bar = 0 then no. of solutions is ?

if z to the power 11 + z bar = 0 then no. of solutions is ?

Grade:11

1 Answers

Vikas TU
14149 Points
3 years ago
Let z=x+iy
now according to question
z^2+zbar=0
(x+iy)^2+(x-iy)=0
x^2+2ixy-y^2+x-iy=0
(x^2+x-y^+i(2xy-y)=0
now
2xy-y=0 and (x^2+x-y^2)=0
2xy-y=0
here x=1/2
put this (x^2+x-y^2)=0
y^2=3/4
y=+_roo3/2
hence (1/2, root3/2)
and (1/2,-root3/2)

Think You Can Provide A Better Answer ?

Other Related Questions on IIT JEE Entrance Exam

View all Questions »

ASK QUESTION

Get your questions answered by the expert for free

Answer and earn gift vouchers

Win Gift vouchers upto Rs 500/-

View courses by askIITians

Design classes One-on-One in your own way with Top IITians/Medical Professionals

Click Here Know More

Complete Self Study Package designed by Industry Leading Experts

Click Here Know More

Live 1-1 coding classes to unleash the Creator in your Child

Click Here Know More

a Complete All-in-One Study package Fully Loaded inside a Tablet!

Click Here Know More