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if z and w are two non-zero complex numbers such that `absz=absw` and `argz+argw=pi`, then z=

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the point of intersection of the curves a r g(z-3i)=(3pi)/4 and a...

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  2. The curve y=(lambda+1)x^2+2 intersects the curve y=lambdax+3 in exactl...

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  3. if z and w are two non-zero complex numbers such that absz=absw and ar...

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  4. The number of irrational roots of the equation (4x)/(x^2+x+3)+(5x)/(x...

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  5. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...

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  6. If one vertex of the triangle having maximum area that can be inscribe...

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  7. The number of complex numbers z satisfying |z-3-i|=|z-9-i|a n d|z-3+3i...

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  8. If the equation x^2-3p x+2q=0a n dx^2-3a x+2b=0 have a common roots an...

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  9. Solve the equation 3^(x^2-x)+4^(x^2-x)=25.

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  10. If t and c are two complex numbers such that |t|!=|c|,|t|=1a n dz=(a t...

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  11. Consider the circle |z|=r in the Argand plane, which is in fact the in...

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  12. Solve the equation 12x^4-56 x^3+89 x^2-56 x+12=0.

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  13. If z is a complex number such that -pi//2lt=a r g zlt=pi//2, then whi...

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  14. P is a point on the argand diagram on the circle with OP as diameter t...

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  15. Solve the equation (x+2)(x+3)(x+8)(x+12)=4x^2

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  16. Given alpha,beta, respectively, the fifth and the fourth non-real root...

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  17. Solve the equation (x-1)^4+(x-5)^4=82.

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  18. If the six roots of x^6 = -64 are written in the form a + ib, where ...

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  19. The maximum area of the triangle formed by the complex coordinates z,...

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  20. Solve sqrt(x+5)+sqrt(x+21)=sqrt(6x+40.)

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