Complex Numbers and Quadratic Equations - Online Test
Q1.
The points of the complex plane given by the condition arg. ( z ) = ( 2n + 1 ) , n I lie on
Answer : Option A
Explaination / Solution:
Hence the points lie on the negative real semi axis z = x , x 0
Q2. If z = x + yi ; x ,y R, then locus of the equation
Answer : Option B
Explaination / Solution:
which is a straight line
Q3. The complex number z which satisfies lies on
Answer : Option C
Explaination / Solution:
which is the X-axis.
Q4. is
Answer : Option B
Explaination / Solution:
Q5. is equal to
Answer : Option C
Explaination / Solution:
We have for a complex number x+iy the argument or amplitude is a value of satisfying
Q6.
If then is equal to
Answer : Option D
Explaination / Solution:
Q7. If is a cube root of unity , then the linear factors of in complex numbers are
Answer : Option C
Explaination / Solution:
Q8. can be expressed as
Answer : Option D
Explaination / Solution:
Q9. If are non-real cube roots of unity then + equals
Answer : Option C
Explaination / Solution:
If are non-real cube roots of unity then we have either
Q10. The complex numbers z = x + iy ; x , y R which satisfy the equation lies on
Answer : Option D
Explaination / Solution:
Let z=x+iy
