NCERT Class 11-Math's: Chapter –5 Complex Numbers and Quadratic Equations Part 9
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Question 8:
If , then show that where , represents a circle.
Answer:
Given
Now,
This is the equation of a circle.
Question 9:
If the real part of is , then show that the locus of the point representing in the complex plane is a circle.
Answer:
Let
Now,
Given that real part is
Which represents a circle.
Hence, locus of z is a circle.
Question 10:
Show that the complex number z, satisfying the condition lies on a circle.
Answer:
Let
Given
Which represents a circle.
Question 11:
Solve the equation .
Answer:
Long Answer Type
Question 12:
If , then find z.
Answer:
Question 13:
If , then find . Where
Answer:
Question 14:
Show that represents a circle. Find its centre and radius.
Answer:
Question 15:
If is a purely imaginary number , then find the value of .
Answer: