Let 
and 
are the two complex numbers satisfying 
. Such that 
is maximum then find the value of 
.
Text Solution
Verified by ExpertsCHECK THE SOLUTION.
( 
)
Sol. 
represents a circle in argand plane; with center (3, 4) and radius = 3. If Arg 
is maximum then z1 and z2 must be the vertices of the chord of contact corresponding to the tangents drawn from origin.
Then |z 1 – z 2 | = length of chord of contact in the given figure 
, and OA = 4 then |OD| = |OA| cosθ and |AD| = |OA| sinθ
So, length |AB| = 2|OA|. sinθ
unit.
──────────────────────────────────────────────────────────────────────────────────────────
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