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Find a complex number z satisfying the e...

Find a complex number `z` satisfying the equation `z+sqrt(2)|z+1|+i=0.`

A

2-i

B

2+i

C

`-2+i`

D

`-2-i`

Text Solution

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The correct Answer is:
D
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ML KHANNA-COMPLEX NUMBERS -Problem Set (3) (M.C.Q)
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  2. If (x+i y)(p+i q)=(x^2+y^2)i , prove that x=q ,=pdot

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  3. The real part of ( 1- cos theta + 2 i sin theta )^(-1) is

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  4. The number of solutions of the equation z^2=barz is

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  5. The number of solutions of z^(2) + 2 bar(z) = 0 is

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  6. Number of solutions of the equation z^(2)+|z|^(2)=0, where z in C, is

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

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  8. Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.

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  9. The number of solutions of the system of equations "Re(z^(2))=0, |z|=2...

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  10. The system of equations |z+1-i|=sqrt2 and |z| = 3 has

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  11. The number of jsolutions of the equation z^(2)+barz=0, is

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  12. The number of solutions of the equation z^(3)+barz=0, is

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  13. The number of points in the complex plane that satisfy the conditions ...

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  14. The number of values of z which satisfy both the equations |z-1-i|=sqr...

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

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  16. If z^(2)+(p+iq)z+(r+is)=0, where,p,q,r,s are non-zero has real roots,...

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  17. If f(x) =x^4-8x^3+4x^2+4x+39 and f (3 + 2i) = a + ib then a : b is eq...

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  18. The equation barbz+bbarz=c, where b is a non-zero complex constant and...

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  19. Let a and b be two non- zero complex numbers. If the lines a bar(z) ...

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  20. The closest distance of origin from the curve given by b bar(z) + bar...

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