Complex Number MSQ - IIT JAM MCQ

The correct answers are: 

⇒ A lies on major are BC

∴ angle subtended by are  at O

The correct answers are: ω + ω²,-1

Correct option is D)

Since w is the imaginary cube root of unity
w³=1 and
1+w+w²=0 ...(i)
Hence
 (1+w−w²)⁷
= ((1+w)−w²)⁷
= (−w²−w²)⁷ ...from i
= (−2w²)⁷
= −128w¹⁴
= −128w¹².w²
= −128(w³)⁴.w²
= −128w² ...since w³=1.

S₃ : Since z₁ z₂ are 8th roots of unity


∴ product of all the roots = (-1)^5 . 1 = -1
The correct answers are: S₂ : If ω is an imaginary fifth root of unity, then   If z₁ and z₂ are two of the 8th roots o f unity, such that  is least positive, then  S₄ : The product of all the fifth roots of-1 is equal to-1

The correct answers are: , ,,

The correct answers are: z₀,2,

The correct answers are: an isosceles triangle, a right angled isosceles triangle

The correct answers are: y = x, y = - x

z₁ 5 + 12i,|z₂| = 4



The correct answers are: maximum   maximum