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Identify locus z if R e(z+1)=|z-1|...

Identify locus `z` if `R e(z+1)=|z-1|`

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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. (costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.

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  2. Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R

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  3. Identify locus z if R e(z+1)=|z-1|

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  4. If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of...

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  5. Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...

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  6. If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3|=12 , then find the va...

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  7. Let Z1 = (8 + i)sin theta + (7 + 4i)cos theta and Z2 = (1 + 8i)sin th...

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  8. For alt=0 , determine all real roots of the equation x^2-2a|x-a|-3a^2=...

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  9. Let A={a in R} the equation (1+2i)x^3-2(3+i)x^2+(5-4i)x+a^2=0 has at ...

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  10. Express the following in a+i b form: ((cosalpha+isinalpha)^4)/((sinbe...

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  11. Find the root of equation 2x^2+10 x + 20=0.

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  12. Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The max...

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  13. If 1//x+x=2costheta , then prove that x^n+1//x^n=2cosnthetadot

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  14. If a x^2+b x+c=0 and b x^2+c x+a=0 have a common root and a, b, and c ...

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  15. Find the roots of the equation 2x^2 - x + 1/8 = 0

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  16. If |z +2 - i|=5 then the maximum value of |3z+9-7i| is K, then find k

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  17. If x^2+3x+5=0a n da x^2+b x+c=0 have common root/roots and a ,b ,c in ...

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  18. Find the minimum value of the expression E= |z|^2+ |z-3|^2 + |z- 6i|^2...

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  19. The area bounded by the curves arg z = pi/3 and arg z = 2 pi /3 and a...

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  20. If alpha!=betaa n dalpha^2=5alpha-3a n dbeta^2=5beta-3. find the equat...

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