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Detailed Solution for Complex Number NAT Level - 1 - Question 1

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

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Complex Number NAT Level - 1 - Question 3

Sum of common roots of z^{2006} + z^{100} + 1 = 0 and z^{3} + 2z^{2} + 2z + 1 = 0 is:

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Complex Number NAT Level - 1 - Question 4

Complex number z satisfying the inequality |z - 5i| ≤ 3 having least positive argument is in the form a + ib. Find the value of a.

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Complex Number NAT Level - 1 - Question 5

If origin and non-real roots of form three vertices of an equilateral triangle in argand plane then λ is :

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Complex Number NAT Level - 1 - Question 6

z_{1} , z_{2} , z_{3} are three vertices of an equilateral triangle circumscribing the circle If and z_{1} , z_{2} , z_{3} are in anticlockwise sense then z_{2 }is :

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Detailed Solution for Complex Number NAT Level - 1 - Question 7

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Complex Number NAT Level - 1 - Question 8

Find the value of here ω is complex cube root of unity.

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Detailed Solution for Complex Number NAT Level - 1 - Question 9

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Complex Number NAT Level - 1 - Question 10

If x, y are real and –3 + x^{2} yi, x^{2} + y + 4i are conjugate of each other, then |x| + |y| is equal to :

Detailed Solution for Complex Number NAT Level - 1 - Question 10

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