## Logarithm of Complex Number MCQ Advance level

Compared to other sections, mathematics is considered to be the most scoring section. If prepared thoroughly, mathematics can help students to secure a meritorious position in the exam. These questions are very important in achieving your success in Exams after 12th.

Q1.

(1-w+w2)(1-w2+w4)(1-w4+w8) to 2n factors is
•  2n
•  22n
•  0
•  1

22n

Q2. Common roots of the equations z3+2z2+2z+1=0 and z1985+z100+1=0 are

•  w,w2
•  w,w3
•  w2,w3
•  none of these

w,w2

Q3. Let z1 and z2 be nth roots of unity which are ends of a line segment that subtend a right angle at the origin. Then n must be of the form

•  4k + 1
•  4k + 2
•  4k + 3
•  4k

4k

Q4. The cube roots of unity when represented on the Argand plane form the vertices of an

•  Equilateral triangle
•  Isosceles triangle
•  Right angled triangle
•  None of these

Equilateral triangle

Q5. If z be a complex number satisfying z4+z3+2z2+z+1=0 then | z | is equal to

•  1/2
•  3/4
•  1
•  None of these

1

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