For a complex number z , let Re(z) denote the real part of z . Let S be the set of all complex numbers Z satisfying z4−|z|4=4iz2, where i=−1 . Then the minimum possible value of z1−z22, where z1,z2∈S with Rez1>0 and Rez2<0, is
see full answer
Your Exam Success, Personally Taken Care Of
1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya
answer is 8.
(Unlock A.I Detailed Solution for FREE)
Best Courses for You
JEE
NEET
Foundation JEE
Foundation NEET
CBSE
Detailed Solution
Let z=x+ iy z 4−|z|4=4iz2⇒ z4−(zz¯)2=4iz2⇒ z=0 or z2−(z¯)2=4i⇒ 4ixy=4i⇒ xy=1Z1−z2min2=8