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The number of complex numbers z satisfyi...

The number of complex numbers `z` satisfying `|z-3-i|=|z-9-i|a n d|z-3+3i|=3` are a. one b. two c. four d. none of these

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z+barz|+|z-barz|=2 then z lies on (a) a straight line (b) a se...

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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  17. If zr : r=1,2,3, ,50 are the roots of the equation sum(r=0)^(50)z^r=0 ...

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  18. Evaluate the value of sqrt(6+sqrt(6+sqrt(6+…..to I nfi nity)))

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  19. If a complex number z satisfies |2z+10+10 i|lt=5sqrt(3)-5, then the le...

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  20. If 1,alpha1,alpha2, ,alpha(n-1) are the n t h roots of unity, prove t...

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