Let 
and 
be complex numbers, such what 
. Also suppose that roots 
and 
of 
for some complex number 
satisfy 
, then :
(i) The complex number ' 
' lies on :
(ii) The greatest value of 
is: 
(iii) The least value of 
is: 
Text Solution
Verified by ExpertsA
(i) If the given condition for complex number 
is of the form
Then this represents a circle in the Argand plane with
Centre 
Radius 7
Hence, the correct answer is a circle with radius 7 and center 
(ii) From the previous result:
So 
lies on a circle with
Centre 
Radius 
Distance of center from origin:
Greatest value of 
occurs when 
is farthest from origin:
(iii) Given
Centre 
, radius 
.
Distance of center from origin:
Least value of 
occurs when point is nearest to origin:
Since 
,
──────────────────────────────────────────────────────────────────────────────────────────
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