NCERT Class 11-Math's: Chapter –5 Complex Numbers and Quadratic Equations Part 10
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Question 16:
are two complex numbers such that and then show that .
Answer:
Let
Given that
And
Now,
Hence proved.
Question 17:
If then show that the real part of is zero.
Answer:
Let
Now,
Since
Hence, the real part of is zero.
Question 18:
If are two pairs of conjugate complex numbers, then find
.
Answer:
Given and are conjugate complex numbers.
is,
He negative side of the real axis
Similarly,
Question 19:
If , then
Show that
Answer:
Given
Now,
Hence Proved.