Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

If z1=z3=z3=1 then value of z2−z32+z3−z12+z1−z22 cannot exceed

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

a

3

b

6

c

9

d

12

answer is C.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

z1+z2+z3≥0⇒z12+z22+z32+2Re⁡z1z¯2+z2z¯3+z3z¯1≥0⇒Re⁡z1z¯2+z2z¯3+z3z¯1≥−32Now, z2−z32+z3−z12+z1−z22=6−2Re⁡z1z¯2+z2z¯3+z3z¯1≤6−(−3)=9
Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring
If z1=z3=z3=1 then value of z2−z32+z3−z12+z1−z22 cannot exceed