Let 
and 
be two distinct complex numbers and let 
for some real number 
with 
. If arg 
denotes the principal argument of a non-zero complex number 
, then which one of the following is incorrect? [JEE (Main) 2010]
Text Solution
Verified by ExpertsB
Let 
and 
be represented by points 
and 
respectively in the Argand plane.
We have,
represents a point 
dividing 
in the ratio 
Clearly, 
So, option is true.
Since 
are collinear. Therefore,
So, option is correct.
We have,
So, option is correct.
We have,
Clearly, 
i.e. 
So, option is not correct.
──────────────────────────────────────────────────────────────────────────────────────────
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