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If the multiplicative inverse of a compl...

If the multiplicative inverse of a complex number is `(sqrt(5) + 6i)/(41)` then the complex number itself is :

A

`sqrt5-6i`

B

`sqrt5+6i`

C

`6+sqrt7i`

D

none of these

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QUANTUM CAT-NUMBER SYSTEM-QUESTION BANK
  1. The value of 1/(i^n) + 1/(i^(n + 3)) + 1/(i^(n + 2)) + 1/(i^(n + 1)) i...

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  2. Find the modulus of 5 + sqrt(-11).

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  3. If the multiplicative inverse of a complex number is (sqrt(5) + 6i)/(4...

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  4. Which of the following is correct?

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

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

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  7. (3 + 2i)^(3) = ?

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

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

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

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

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

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

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

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

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

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

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

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

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

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