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Number of non-zero integral solutions of...

Number of non-zero integral solutions of the equation `|1-i|^x= 2^x` is :

A

infinite

B

1

C

2

D

None of these.

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. i^57 +1/i^125 equals :

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  2. ((1+i)/(1-i))^2 is equal to:

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  3. Number of non-zero integral solutions of the equation |1-i|^x= 2^x is ...

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  4. If the imaginary part of (2z+1)/(iz+1) is -2, then the locus of the po...

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  5. The points representing the complex numbers z for which |z+3|^2 -|z-3|...

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  6. One of the values of (-i)^(1//3) is :

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  7. The complex number z = x + iy, which satisfies the equation |(z-5i)/(z...

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  8. In complex plane, the equation |z+ bar z|=|z- bar z| represents :

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  9. For complex numbers u, v, one always has :

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  10. If ((1+i)/(1-i))^n =1, then the smallest value of n is :

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  11. Which of the following is correct ?

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  12. In the Argand diagram. if O, P and Q represent respectively the origin...

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  13. The area of the triangle with vertices affixed at z, iz, z(1 +i) is:

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  14. Multiplication of a complex z by i corresponds to :

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  15. If (c+i)/(c-i)= a+ ib, where a, b, c are real, then a^2+ b^2 equals :

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  16. If i^2=-1, then the value of overset (200) underset (n=1) (sum) i^n is...

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  17. If the conjugate of (x + iy) (1-2i) be 1+i, then :

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  18. Mathematical Induction shows that the inequality log (n!) >n/2 holds :

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  19. The inequality n ! > 2^(n-1) is true:

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  20. The number of solutions of the equation z^2+ bar z=0 is :

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