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Let z(1), z(2) be two complex numbers sa...

Let `z_(1), z_(2)` be two complex numbers satisfying the equations `|(z-4)/(z-8)|= 1 and |(z-8i)/(z-12)|=(3)/(5)`, then `sqrt(|z_(1)-z_(2)|)` is equal to __________

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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -SOLVED EXAMPLES (NUMERICAL ANSWER TYPE QUESTIONS )
  1. Radius of the circle |(z-1)/(z-3i)|=sqrt(2)

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  2. Suppose z(1), z(2), z(3) are vertices of an equilateral triangle with ...

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  3. Let m = Slope of the line |z + 3|^(2) - |z-3i|^(2) = 24, then m + 1.73...

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  4. If omega ne 1 is a cube root of unity, then (1)/(pi) sin^(-1) [(omega^...

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  5. ((1+sqrt(3)i)/(1-sqrt(3)i))^(181) + ((1-sqrt(3)i)/(1+sqrt(3)i))^(181) ...

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  6. Let z(1), z(2) be two complex numbers satisfying the equations |(z-4)/...

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  7. If z is a complex number, then the minimum value of |z - 2.8| + |z - 1...

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  8. If (3 z(1))/(5 z(2)) is purely imaginary, then |(2z(1)-z(2))/(2z(1) + ...

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  9. If omega ne 1 is a complex cube root of unity, then 5.23 + omega + ome...

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  10. If conjugate of a complex number z is (2+5i)/(4-3i), then |Re(z) + Im(...

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  11. Let z be a complex number such that Im(z) ne 0. "If a" = z^(2) + 5z + ...

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  12. Let z(k) = cos ((2kpi)/(7))+i sin((2kpi)/(7)),"for k" = 1, 2, ..., 6, ...

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  13. Let S = {z in C : |z - 2| = |z + 2i| = |z - 2i|} then sum(z in S) |z +...

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  14. Suppose z satisfies the equation z^(2) + z + 1 = 0."Let" omega = (z+(1...

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  15. Suppose omega ne 1 is cube root of unity. If 1(2-omega) (2-omega^(2)) ...

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  16. If z(1) and z(2) are two nonzero complex numbers and theta is a real n...

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  17. Eccentricity of the ellipse |z-4| + |z-4i| = 10 sqrt(2) is

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  18. Suppose a and b are two different complete numbers such that |a + sqrt...

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  19. Suppose z(1), z(2) and z(3) are three distinct complex numbers such th...

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  20. Let P be a point on the circle |z + 2 - 5i| = 6 and A be the point (4 ...

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