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If z is complex number, then the locus ...

If `z` is complex number, then the locus of `z` satisfying the condition `|2z-1|=|z-1|` is (a)perpendicular bisector of line segment joining 1/2 and 1 (b)circle (c)parabola (d)none of the above curves

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If |z2+i z1|=|z1|+|z2|a n d|z1|=3a n d|z2|=4, then the area of triang...

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

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

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

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

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

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

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

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

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  10. 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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  11. If z be any complex number such that abs(3z-2)+abs(3z+2)=4 then locus ...

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  12. If p,q,r are three positive real number are in AP , then the roots of ...

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  13. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

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  14. If abs(z^2-1)=absz^2+1, then z lies on

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  15. A(z1),B(z2),C(z3) are the vertices of the triangle A B C (in anticlock...

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  16. The number of points of intersection of two curves y=2sinxa n dy=5x^2+...

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  17. If |z|=1, then the point representing the complex number -1+3z will li...

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  18. If one vertex of a square whose diagonals intersect at the origin is 3...

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  19. If alphaa n dbeta are the roots of x^2+p x+q=0a n dalpha^4,beta^4 ar...

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  20. Find the center of the are represented by a r g[(z-3i)//(z-2i+4)]=pi//...

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