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If z1, z2, z3 are three complex, number...

If `z_1, z_2, z_3` are three complex, numbers and `A=[[a r g z_1,a r g z_3,a r g z_3],[a r g z_2,a r g z_2,a r g z_1],[a r g z_3,a r g z_1,a r g z_2]]` Then `A` divisible by `a r g(z_1+z_2+z_3)` b. `a r g(z_1, z_2, z_3)` c. all numbers d. cannot say

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. If z(1+a)=b+i ca n da^2+b^2+c^2=1, then [(1+i z)//(1-i z)= A. (a+i b...

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  2. A value of b for which the equation x^2+b x-1=0,x^2+x+b=0 have one roo...

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  3. If z1, z2, z3 are three complex, numbers and A=[[a r g z1,a r g z3,a...

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  4. Let p and q be real numbers such that p!=0,p^3!=q ,and p^3!=-qdot If a...

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  5. If cosalpha+2cosbeta+3cosgamma=sinalpha+2sinbeta+3singamma=0, then the...

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  6. Let alpha,beta be the roots of the equation x^(2)-px+r=0 and alpha//2,...

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  7. If center of a regular hexagon is at the origin and one of the vertice...

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  8. Let a ,b , c be the sides of a triangle, where a!=b!=c and lambda in...

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  9. Let z be a complex number satisfying equation z^p-z^(-q)=0,\ where\ p ...

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  10. Let S be the set of all non-zero real numbers such that the quadratic ...

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  11. A complex number z is rotated in anticlockwise direction by an angle ...

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  12. For real x, the function ((x-a)(x-b))/(x-c) will assume all real value...

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  13. If z1, z2 are two complex numbers (z1!=z2) satisfying |z1^2-z2^2|=| z...

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  14. The quadratic equation p(x)=0 with real coefficients has purely imagi...

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  15. If from a point P representing the complex number z1 on the curve |z...

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  16. Let alpha and beta be the roots x^2-6x-2=0, with alpha > beta If an=al...

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  17. If |z-3|=min{|z-1|,|z-5|}, then Re(z) equals to

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  18. For the following question, choose the correct answer from the codes ...

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  19. Minimum value of| z1- z2| as z1& z2 over the curves √3

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  20. All the values of m for whilch both the roots of the equation x^2-2m x...

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