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

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

A

`( 8 +i)/(5)`

B

`(8-i)/(5)`

C

`(2 + 3i)/(5)`

D

`(2- 3i)/(5)`

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The correct Answer is:
A
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AAKASH SERIES-COMPLEX NUMBERS-PRACTICE EXERCISE
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  3. The conjugate of (2 + 3i)/(1 + 2i) is

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

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

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

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  7. If m1,m2,m3 and m4 respectively denote the moduli of the complex numbe...

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  8. The mod-amplitude form of -sqrt3 - i

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  9. The mod-amplitude form of sin theta + icos theta is

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  11. If (pi)/(5) and (pi)/(3) are respectively the arguments of barz(1) and...

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  14. Given |z| = 14 and amp z = (7pi)/(6) , then z is =

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  15. If (sqrt3 + i) = (a + ib) (c + id) then tan^(-1) (b)/(a) + tan^(-1) (d...

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  16. Let z,w be complex number such that barz+ibarw=0 and arg zw =pi . Then...

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  17. If Arg ((z+1)/(z-1))=pi/6 then the locus of z = x + iy is

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  18. If |z| = 1 and arg [z^(2) + barz] = x arg z then x

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  19. If z = x + iy and if the point P in the Argand plane represents z , th...

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