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The solution of the equation |z|-z=1+2i ...

The solution of the equation `|z|-z=1+2i` is

A

2 - 3i

B

3 +2i

C

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

D

none of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-COMPLEX NUMBERS -Self Assessment Test
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  2. The conjugate of ((2 + i)^(2))/( 3 + i) in the form of a + ib is

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  3. The solution of the equation |z|-z=1+2i is

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  4. Let z(1) = 3 + 4i and z(2) = - 1 + 2i " then " | z(1) + z(2)|^(2) - 2...

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  5. Let z, be a complex number with |z1|=1 and z2 be any complex number, ...

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  6. If (3/2+(isqrt(3))/2)^(50)=3^(25)(x+iy), where x and y are reals, then...

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  7. The value of | (1 + i sqrt(3))/(( 1 + (1)/( i + 1))^(2))| is

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  8. The modulus of the complex number z such that | z + 3 - i| = 1 and arg...

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  9. If z = (4)/(1 - i) then bar(z) is equal to

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  10. If one root of the equation x^2 + (1 - 3i) x - 2(1+i) = 0 is -1 +i, th...

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  11. Convert the complex number z=(i-1)/(cospi/3+isinpi/3)in the polar form...

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  12. If z(1) , z(2), z(3) are three complex numbers in A.P., then they lie ...

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  13. The complex number(1+2i)/( 1-i) lies in the Quadrant number

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  14. If xr=cos(pi/(2^r))+isin(pi/(2^r)) then x1,x2,x3,.....oo

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  15. If p(x,y) denotes z = x + iy in Argand plane and | (z - 1)/( z + 2i)|...

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  16. If omega (!= 1) is a cube root of unity, then the sum of the series S ...

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  17. The smallest positive integral value of 'n' such that [(1+sin\ pi/8 + ...

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

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  19. If Z=ilog(2-sqrt(3)),then cos(Z)=

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  20. If z = |{:(1 , 1 + 2i, - 5i),(1 - 2i,-3,5+3i),(5i,5-3i,7):}|, then (i=...

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