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(3 + 2i)^(3) = ?...

`(3 + 2i)^(3) = ?`

A

9-46i

B

9+46i

C

-9+46i

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
C
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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The smallest positive integer n for which ((1 + i)/(1-i))^(n) = -1 is ...

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  2. The smallest positive integer n for which ((1 + i)/(1-i))^(n) = -1 is ...

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  3. (3 + 2i)^(3) = ?

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  4. The multiplicative inverse of (3 + 2i)^2 is :

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  5. If |z| = 1, then ((1 + z)/(1 + z)) equals :

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  6. The value of sqrti+sqrt(-i) is :

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  7. The value of log(e) (-1) is:

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  8. The number of solution of the equation z^2+absz^2=0,where z is complex...

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  9. The value of ((i+ sqrt 3)/2)^100+((i-sqrt3)/2)^100 is :

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  10. If 1, omega, omega^2 be the cube roots of unity, then the value of (1 ...

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  11. If 1,omega,omega^2,omega^3,...,omega^(n-1) be the n,nth roots of unity...

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  12. If ((1 - i)/(1+ i))^(100) = x + iy then the value of (x, y) is:

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  13. The inequality a + ib < c + id holds if

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  14. The points z1, z2, z3, z4 in the complex plane form the vertices of a ...

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  15. If a + ib = sqrt((u + iv)/(x + iy)) then the value of a^2 + b^2 is:

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  16. The maximum value of absz when z satisfies the condition abs(z+2/z)=2 ...

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  17. The modulus of the complex number ((2 + isqrt(5)))/(1 + 2sqrt(2i)) is ...

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  18. Which one of the following is a rational number ?

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  19. Rational number (-18)/5 lies between consecutive integers :

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  20. Which one of the following statements is correct ?

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