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A complex number z is rotated in anticlo...

A complex number z is rotated in anticlockwise direction by an angle `alpha` and we get `z'` and if the same complex number z is rotated by an angle `alpha` in clockwise direction and we get `z''`then

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Let z be a complex number satisfying equation z^p-z^(-q)=0,\ where\ p ...

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

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

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

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

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

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

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

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

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

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

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

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  13. If p=a+bomega+comega^2, q=b+comega+aomega^2, and r=c+aomega+bomega^2,...

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  14. If the roots of the quadratic equation (4p-p^2-5)x^2-(2p-1)x+3p=0 lie ...

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  15. If z1=5+12 i and |z2|=4,t h e n

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  16. If roots of x^2-(a-3)x+a=0 are such that at least one of them is great...

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  17. If |z-1|-1,t h e n a r g((z-1-i)//z) can be equal to pi//4 (z-2)//z ...

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  18. Let f(x)=a x^2+bx +c a ,b ,c in R. If f(x) takes real values for re...

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  19. Write a linear equation representing a line which is parallel to y-axi...

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  20. If both roots of the equation a x^2+x+c-a=0 are imaginary and c > -1, ...

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