Use app×
Join Bloom Tuition
One on One Online Tuition
JEE MAIN 2025 Foundation Course
NEET 2025 Foundation Course
CLASS 12 FOUNDATION COURSE
CLASS 10 FOUNDATION COURSE
CLASS 9 FOUNDATION COURSE
CLASS 8 FOUNDATION COURSE
0 votes
940 views
in Complex Numbers by (50.2k points)
closed by

If z = x + iy lies in the third quadrant, the \(\frac{\overline z}{z}\)  also lies in the third quadrant if

A. x > y > 0 

B. x < y < 0 

C. y < x < 0 

D. y > x > 0

1 Answer

+1 vote
by (48.7k points)
selected by
 
Best answer

C. y < x < 0

Since z = x + iy lies in the third quadrant, we get

X < 0 and y < 0

⇒ x2 – y2 < 0 and -2xy < 0

⇒ x2 < y2 and xy > 0

But x, y < 0

∴ y < x < 0

Welcome to Sarthaks eConnect: A unique platform where students can interact with teachers/experts/students to get solutions to their queries. Students (upto class 10+2) preparing for All Government Exams, CBSE Board Exam, ICSE Board Exam, State Board Exam, JEE (Mains+Advance) and NEET can ask questions from any subject and get quick answers by subject teachers/ experts/mentors/students.

...