Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
be a complex number satisfying 
, where 
is a parameter which can take any real value.
(i) The roots of this equation lie on a certain circle if
Correct Answers for Comprehension Sub-Questions
Text Solution
Verified by ExpertsThe correct answer is:
CHECK THE SOLUTION.
(i) , (ii) , (iii)
Case I:
When 
, we have
Case II:
Roots are 
. One root lies inside the unit circle and the other root lies outside the unit circle.
Case III:
When 
is very large, then
──────────────────────────────────────────────────────────────────────────────────────────
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 .