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If z^4+1=sqrt(3)i (A) z^3 is purely re...

If `z^4+1=sqrt(3)i` (A) `z^3` is purely real (B) z represents the vertices of a square of side `2^(1/4)` (C) `z^9` is purely imaginary (D) z represents the vertices of a square of side `2^(3/4)`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If one root is square of the other root of the equation x^2+p x+q=0, t...

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  3. If z^4+1=sqrt(3)i (A) z^3 is purely real (B) z represents the vertic...

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  4. Let alpha,beta be the roots of the quadratic equation a x^2+b x+c=0 an...

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  5. If x=a+bi is a complex number such that x^2=3+4i and x^3=2+11i, where...

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  6. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

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  7. Let ...

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  8. If f(x)=x^2+2bx=2c^2 and g(x)=-x^2-2cx+b^2 are such that min f(x)gtmax...

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  9. Let z be a complex number such that the imaginary part of z is non zer...

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  10. For the equation 3x^2+p x+3=0,p >0, if one of the root is square of th...

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  11. Let z, omega be complex numbers such that barz+ibaromega=0 and arg(z o...

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  12. Let f(x)=(1+b^2)x^2+2b x+1 and let m(b) the minimum value of f(x)dot A...

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  13. For any two complex numbers z1 and z2, , prove that Re (z1 z2) = Re ...

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  14. If alphaand beta(alphaltbeta) are the roots of the equation x^2+bx+c=0...

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  15. If omega(ne1) be a cube root of unity and (1+omega^2)^n=(1+omega^4)^n ...

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  16. If b gt a, then the equation (x-a)(x-b)-1=0 has (a) Both roots in (a...

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  17. Let z1 and z2 be complex numbers such that z1 nez2 and absz1=absz2 if ...

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  18. The equation sqrt(x+1)-sqrt(x-1)=sqrt(4x-1) has

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  19. If z1, z2 are complex number such that (2z1)/(3z2) is purely imaginary...

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  20. If the roots of the equation x^2-2ax+a^2 + a-3=0 are less than 3 then

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