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sqrt(4ab - 2i (a^(2) - b^(2) ) =...

`sqrt(4ab - 2i (a^(2) - b^(2) )` =

A

`pm {((a-b) + i(a-b))/(2)}`

B

`pm {(i+ 5b) + (a - 4b)}`

C

`pm {(a + b) - i(a - b)}`

D

`pm {(I +b) - i(a-b)}`

Text Solution

Verified by Experts

The correct Answer is:
C
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AAKASH SERIES-COMPLEX NUMBERS-EXERCISE -II
  1. If z and omega are two non-zero complex numbers such that |zomega| =1...

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  2. If z is a complex number of unit modulus and argument theta then, arg ...

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  3. sqrt(4ab - 2i (a^(2) - b^(2) ) =

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  4. x + isqrt(x^(4) + x^(2) + 1)) =

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  5. If sqrt(x+ iy) = pm (a + ib) then sqrt(x-iy) =

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  6. (1 - omega) (1 - omega^(2)) (1 - omega^(4)) (1 - omega^(5)) (1 - omega...

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  7. If omega is a imaginary cube root of unity , then 225 + (3 omega + 8 o...

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  8. (1 - omega + omega^(2)) ( 1 - omega^(2) + omega^(4)) ( 1- omega^(4) + ...

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  9. If omega is a complex cube root of unity , then (x + 1) ( x + omega) (...

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  10. If 1 , omega , omega^(2) are the cube roots of unity , then (x + y + z...

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  11. 4 + 5 ( - (1)/(2) + (isqrt3)/(2))^(334) + 3 ( - (1)/(2) + (isqrt3)/(2)...

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  12. If a = cos "" (4pi)/(3) + isin "" (4pi)/(3) then ((1 + a)/(2))^(3n) =

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  13. If omega is a cube root of unity , then |{:( 1 , omega , 2 omega^(2)...

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  14. If x^(2) + x + 1 =0 , then the value of (x + (1)/(x))^(2) + (x^(2) + ...

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  15. If 1 , omega , omega^(2) are the cube roots of unity , then the roots...

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  16. If omega is a complex cube root of unity , then the value of (a + b o...

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  17. If omega is a complex cube root unity then sin { (omega^(10) + omega^(...

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  18. If z + (1)/(z) = -1 then z^(5) + (1)/(z^(5)) =

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  19. If (omega ne1) is a cube root of unity , then {:(1 , 1 + i+ omega^(2...

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  20. If n (ne 3) is an integer and z = -1 + isqrt3 , then z^(2n) + 2^(n) ,...

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