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Complex Number MCQ Level - 2 - Question 1

The point of intersection the curves

arg ( z - i + 2 ) = and arg ( z + 4 - 3i ) = is given by

Detailed Solution for Complex Number MCQ Level - 2 - Question 1

Complex Number MCQ Level - 2 - Question 2

If 1, α_{1},α_{2},α_{3}.........and α_{8} re nine, ninth roots of unity (taken in counter-

clockwise sequence) then | ( 2 - α_{1 }) (2 - α_{3}) ( 2 - α_{5 }) ( 2 - α_{7} ) | is equal to :

Detailed Solution for Complex Number MCQ Level - 2 - Question 2

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Complex Number MCQ Level - 2 - Question 3

If 'z' is complex number then the locus of ‘z’ satisfying the condition

|2z - 1| = | z - 1 | is

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Complex Number MCQ Level - 2 - Question 4

If t and c are two complex numbers such that | t | = 1 and z = z = x + iy , Locus of z is (where a, b are complex numbers)

Detailed Solution for Complex Number MCQ Level - 2 - Question 4

Complex Number MCQ Level - 2 - Question 5

If ω is an imaginary cube root of unity, then (1+ ω - ω^{2} )^{7} is equal to

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Complex Number MCQ Level - 2 - Question 7

If a complex number z satisfies | 2z + 10 + 10i | __<__ 5 √3 - 5, then the least principal argument of z is.

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Complex Number MCQ Level - 2 - Question 8

Image of the point, whose affix is in the line (1 + i ) z + ( 1 - i ) is the point whose affix is :

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Complex Number MCQ Level - 2 - Question 9

Let S denote the set of all complex numbers z satisfying the inequality |z - 5i| __<__ 3.The complex numbers z in S having least positive argument is :

Detailed Solution for Complex Number MCQ Level - 2 - Question 9

Complex Number MCQ Level - 2 - Question 10

Number of solution of the equation where z is a complex number is :

Detailed Solution for Complex Number MCQ Level - 2 - Question 10

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