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Let alpha,beta be the roots of the quadr...

Let `alpha,beta` be the roots of the quadratic equation `a x^2+b x+c=0 and delta=b^2-4a cdot If alpha+beta,alpha^2+beta^2alpha^3+beta^3` are in G.P. Then a.`=0` b. `!=0` c. `b =0` d. `c =0`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  8. Let z be a complex number such that the imaginary part of z is non zer...

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

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

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

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

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  20. 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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