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Let z be a complex number such that the ...

Let z be a complex number such that the imaginary part of z is non zero and `a=z^2+z+1` is real then a cannot take the value

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let ...

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

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

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

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

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

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

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

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

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

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

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

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  15. If z(1+a)=b+i c and a^2+b^2+c^2=1, then [(1+i z)//(1-i z)= A. (a+i b...

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  16. A value of b for which the equations x^2+bx-1=0, x^2+x+b =0 have one r...

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  17. If z1,z2,z3 are three complex numbers and A= abs[[argz1,argz2,argz3],...

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  18. Let p and q be real numbers such that p!=0,p^3!=q ,and p^3!=-qdot If a...

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  19. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0, then the...

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  20. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

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