Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Number of complex numbers 
, such that 
and 
is ………..
Text Solution
Verified by ExpertsThe correct answer is:
8
(8)
Let 
.......(i)
[from Eq. (i)]
........(ii)
From Eqs. (i) and (ii), we get
For 
[from Eq. (i)]
For 
[from Eq. (i)]
For 
[from Eq. (i)]
For 
[from Eq. (i)]
Solutions are 
Hence, number of solutions is 8 .
──────────────────────────────────────────────────────────────────────────────────────────
Prepare Smarter with CGP Edu
Get practice questions, solutions, and test series in one place.
Write a Review
Share your experience with this question and solution.
Commentary
Send your comment, doubt, correction, or feedback to admin.
Similar Questions
Explore conceptually related problems
The locus of the points representing the complex numbers z for which |z| – 2 = 0, |z – i| – |z + 5i…
If , then-
If and , then is equal to
Show that the equation Z 4 + 2Z 3 + 3Z 2 + 4Z + 5 = 0 has no root which is either purely real or pu…
Consider the locus of the complex number in the Argand plane is given by 2 i. Let and be two co…
Find the mirror image of the curve about the line .