11th Class
Mathematics
Complex Numbers and Quadratic Equations
Question Bank
Critical Thinking
question_answer
Let \[z\] and \[w\] be the two non-zero complex numbers such that \[|z|\,=\,|w|\] and \[arg\,z+arg\,w=\pi \]. Then \[z\] is equal to [IIT 1995; AIEEE 2002]
A)\[w\]
B)\[-w\]
C)\[\overline{w}\]
D)\[-\overline{w}\]
Correct Answer:
D
Solution :
Trick: On checking the options, (d) satisfies both the conditions.