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If ((1+i)/(1-i))^n =1, then the smallest...

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

A

2

B

6

C

8

D

4

Text Solution

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MODERN PUBLICATION-LINEAR INEQUATIONS-EXERCISE
  1. In complex plane, the equation |z+ bar z|=|z- bar z| represents :

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

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

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  4. Which of the following is correct ?

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

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

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

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

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

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

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

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

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

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  14. If alpha, beta are the roots fo the equation lamda(x^(2)-x)+x+55=0. If...

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  15. The modulus of (1-i)/(3+i)+(4i)/5 is :

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  16. For any complex number z, the minimum value of |z|+|z-1| is :

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  17. If alpha, beta are the roots of x^2-a(x-1)+b=0, then the value of 1/(a...

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  18. The sum of all real roots of the equation |x-2|^(2)+|x-2|-2=0 is

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  19. The quadratic equation whose roots are three times the roots of 3ax^2 ...

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  20. If a, b, c are real, then both the roots of the equation : (x- b) (x-c...

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