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Complex Number NAT Level - 2 - Question 1

If perimeter of the locus represented by is k, then find the value of

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Complex Number NAT Level - 2 - Question 4

If z is a complex number and the minimum value of |z| + |z - 1| + |2z - 3| is λ and if then find the value of [x + y]. (where [·] denotes the greatest integer function)

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Complex Number NAT Level - 2 - Question 5

If |z_{2} + iz_{1} | = |z_{1} | + |z_{2} | and |z_{1} | = 3 and |z | = 4 then area of Δ ABC, if affix of A, B and C are (z_{1} ), (z_{2} ) and respectively is :

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Complex Number NAT Level - 2 - Question 8

If then find the number of positive integers less than 20 satisfying above equation.

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Complex Number NAT Level - 2 - Question 9

Sum of common roots of the equations z^{3} + 2z^{2} + 2z + 1 = 0 and z^{97} + z^{29} + 1 = 0 is equal to :

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