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Let complex numbers alpha and 1/alpha^-...

Let complex numbers `alpha` and `1/alpha^-` lie on circles `(x-x_0)^2+(y-y_0)^2=r^2` and `(x-x_0)^2+(y-y_0)^2=4r^2` respectively if `z_0=x_0+iy_0` satisfies the equation `2absz_0^2=r^2+2` then `absalpha=`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. ifa=cos(2pi//7)+isin(2pi//7) , then find the quadratic equation whose ...

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  3. Let complex numbers alpha and 1/alpha^- lie on circles (x-x0)^2+(y-y0...

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  4. If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...

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  5. If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.

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  6. Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=...

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  7. The value of i^(1+3+5+.....+(2n+1)) is.

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  8. a ,b , c are integers, not all simultaneously equal, and omega is cube...

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  9. a, b, c are reals such that a+b+c=3 and   1/(a+b)+ 1/(b+c) + 1/ (c+...

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  10. If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tannthet...

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  11. If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...

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  12. The locus represented by the equation abs(z-1)=abs(z-i) is

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  13. Prove that the roots of the equation x^4-2x^2+4=0 forms a rectangle.

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  14. If a ,b ,c are non-zero real numbers, then find the minimum value of t...

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  15. If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...

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  16. If diagonals of a parallelogram bisect each other, prove that its a rh...

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  17. If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...

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  18. If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...

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  19. If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...

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  20. If z=x+iy is a complex number with x, y in Q and |z| = 1, then show ...

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