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If z1= (2,3) , z2= (5,6), then find z1/z...

If `z_1= (2,3) , z_2= (5,6)`, then find `z_1/z_2`.

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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
  1. If z1= (2,3) , z2= (5,6), then find z1/z2.

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  2. The value of sum(n= 1)^(13) (i^(n) + i^(n + 1)) , where i=sqrt(-1) is

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  3. 1 + i^(2) + i^(4) + i^(6) + … +i^(2n) =

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  4. If ((1 + i)/(1- i))^(x) = 1 then

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  5. The value of ((1 + i)^(2n + 1))/((1- i)^(2n -1)) =

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  6. The value of (1 + i)^(6) + (1 - i)^(6) is

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  7. If u + iv = (3i)/(x + iy + 2) , then y in terms of u , v is

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  8. If (x + 3i)/(2 + iy) = 1 - i then the value of (5x - 7y)^(2) =

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  9. If x + iy = (1)/((1 + cos theta + isin theta)) then sin^(-1) x =

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  10. The real value of theta for which the expression (1 -isin theta)/(1 + ...

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  11. Find the values of the following : ( sqrt3/2 + i/2)^(5) - ( sqrt3/...

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  12. If x = (-5 + isqrt3)/(2) then (x^(2) + 5x)^(2) + x ( x+ 5) =

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  13. If z = 3- 5i then z^(2) - 10z + 30=

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  14. If theta is real then the modulus of (1)/(1 + cos theta + isin theta) ...

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  15. If (x + iy)^((1)/(3)) = 5+ 3i , then 3x + 5y =

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  16. If alpha is a non-real root of x^(7) = 1 then alpha(1 + alpha) (1 + al...

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  17. Express (3- 2i)/(5 + 4i) + (3 + 2i)/(5 - 4i) in the form of a + ib

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  18. The conjugate of (2 + 3i)/(1 + 2i) is

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  19. If (2 - i)/((1 - 2i)^(2)) and (-(x + 11i))/(25) are conjugate complex ...

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  20. The modulus of ((3 + i) (2 - i))/(1 +i) is

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  21. If x -iy = sqrt([(a - ib)/(c-id)]) , then (x^(2) + y^(2))^(2) =

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