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The complex number associated with the vertices `A, B, C` of `DeltaABC` are `e^(i theta),omega,bar omega`, respectively [ where `omega,bar omega` are the com plex cube roots of unity and `cos theta > Re(omega)`], then the complex number of the point where angle bisector of A meets cumcircle of the triangle, is

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. If zr : r=1,2,3, ,50 are the roots of the equation sum(r=0)^(50)z^r=0 ...

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  3. The complex number associated with the vertices A, B, C of DeltaABC...

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  4. Evaluate x=sqrt(6+sqrt(6+sqrt(6+oodot)))

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

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

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  7. If n >1 , show that the roots of the equation z^n=(z+1)^n are collinea...

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  8. If the expression a x^4+b x^3-x^2+2x+3 has remainder 4x+3 when divided...

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  9. If |z2+i z1|=|z1|+|z2| and|z1|=3 and |z2|=4, then the area of triangl...

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  10. What is the locus of w if w=3/za n d|z-1|=1?

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  11. If z is complex number, then the locus of z satisfying the condition...

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  12. Find the remainder when x^3+4x^2-7x+6 is divided by x-1.

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  13. What is the locus of z if ||z-cos^(-1)cos12|-|z-sin^(-1)s in 12||=8(pi...

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  14. Use the factor theorem to find the value of k for which (a+2b),w h e ...

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  15. If z is a complex number lying in the fourth quadrant of Argand plane ...

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  16. If z=(lambda+3)+isqrt(5-lambda^2) then the locus of Z is

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  17. Let z be a complex number having the argument theta ,0 < theta < pi/2,...

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  18. Given that x^2+x-6 is a factor of 2x^4+x^3-ax^2+b x+a+b-1, find the va...

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  19. If z is any complex number such that |3z-2|+|3z+2|=4 , then identify t...

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  20. If p ,q ,r are positive and are in A.P., the roots of quadratic equat...

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