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If roots of the equation z^2+ az + b = ...

If roots of the equation `z^2+ az + b = 0` are purely imaginary then

A

`(b-bar(b))^(2)+(a+bar(a))(bar(a)b+abar(b))=0`

B

`(b-bar(b))^(2)+(a-bar(a))^(2)=0`

C

`(b+bar(b))^(2)-(a-bar(a))^(2) = 0`

D

None of these

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A
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MCGROW HILL PUBLICATION-COMPLEX NUMBERS -EXERCISE LEVEL 1
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  2. If omega is a complex cube root of unity, then value of expression cos...

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  3. If roots of the equation z^2+ az + b = 0 are purely imaginary then

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

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  5. If 8iotaz^3+12z^2-18z+27iota=0 then: a. |z|=3/2 b. |z|=2/3 c. |z|=...

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  6. If a complex number z lies in the interior or on the boundary of a cir...

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  7. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

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  8. Suppose z(1), z(2), z(3) represent the vertices A, B and C respectivel...

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  9. Suppose that three points z(1), z(2), z(3) are connected by the relati...

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  10. If the number (z-1)/(z+1) is purely imaginary, then

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  11. If z s a complex number such that -pi/2 leq arg z leq pi/2, then which...

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  12. If |omega|=1, then the set of points z=omega+1/omega is contained in o...

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  13. The number of complex numbers z such that |z|=1a n d|z// z + z //z=1...

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  14. If |z1|=|z2|=|z3|=1 are twu complex numbers such that |z1|=|z2|=sqrt2...

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  15. Let z(1), z(2), z(3) be three non-zero complex numbers such that z(1) ...

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  16. If |z1|=|z2|=|z3|=1 then value of |z1-z3|^2+|z3-z1|^2+|z1-z2|^2 cannot...

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  17. Let z1z2,z3, be three complex number such that z1+z2+z3=0 and |...

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  18. Let z(1), z(2), z(3) be three complex numbers such that |z(1)| = |z(2)...

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  19. Suppose z is a complex number such that z ne -1, |z| = 1, and arg(z) =...

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  20. Let a = Im((1+z^(2))/(2iz)), where z is any non-zero complex number. T...

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