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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
- If the complex numbers z(1) , z(2) , z(3) represents the vertices of a...
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- If z = 2e^(i"" (pi)/(4)) then |e^(iz)| =
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- If |z + barz| + |z - barz| , then the locus of z is
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- If |z + 4| + |z - 4| = 10 represents an ellipse then length of its min...
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- The region represented by |z+a|+|z-a| lt4a is
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- |z-4|lt|z-2| represents the region given by
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- For any two complex numbers z(1) & z(2) and any two real numbers a , b...
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- sqrt(-5+12i)=
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- sqrti =
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- The value of sqrt(x^(2) + 2ix- 1) is
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- If n is an integer and not a multiple of 3 then omega^(n) + omega^(2n...
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- (3 + 5 omega + 3omega^(2))^(6) =
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- (1+omega)(1+omega^(2))(1+omega^(5))..........2n factors =
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- (1- omega + omega^(2))^(7) + (1 + omega - omega^(2))^(7) =
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- (1-omega+omega^(2))(1-omega^(2)+omega^(4))(1-omega^(4)+omega^(8))(1-om...
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- If 1 , omega , omega^(2) are the cube roots of unity , then find the ...
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- If 1 , omega , omega^(2) are the cube roots of unity , then the root...
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- If 1 , omega , omega^(2) are the cube roots of unity, then prove that ...
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- The value of ((- 1 + isqrt3)/(2))^(100) + ((- 1 - isqrt3)/(2))^(100) i...
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- If x = a + b , y = a omega^(2) +b omega and z = a omega + b omega^(2) ...
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