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If (1+i)^2 /(3 - i) , then Re(z) =...

If `(1+i)^2 /(3 - i)` , then `Re(z)` =

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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
  1. Find the range of real number alpha for which the equation z+alpha|z-1...

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  2. If the roots of the equation a(b-c)x^2+b(c-a)x+c(a-b)=0 are equal, sho...

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  3. If (1+i)^2 /(3 - i) , then Re(z) =

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  4. Find the quadratic equation with rational coefficients whose one root ...

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  5. Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then...

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  6. If f(x)=a x^2+b x+c ,g(x)=-a x^2+b x+c ,where ac!=0, then prove that f...

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  7. Find the real numbers x and y if (x-i y)(3+5i) is the conjugate of ...

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  8. If x is real, then x//(x^2-5x+9) lies between -1a n d-1//11 b. 1a n d-...

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  9. Find the least positive integer n such that ((2i)/(1+i))^n is a positi...

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  10. Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(...

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  11. Find the real part of e^e^(itheta)

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  12. If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...

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  13. Prove that z=i^i, where i=sqrt-1, is purely real.

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  14. If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x...

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  15. In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...

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  16. Suppose that f(x) is a quadratic expresson positive for all real xdot ...

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  17. about to only mathematics

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  18. Let f(x)=ax^2-bx+c^2, b != 0 and f(x) != 0 for all x ∈ R. Then (a) ...

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  19. If n is n odd integer that is greater than or equal to 3 but not a mul...

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  20. If a ,b in R ,a!=0 and the quadratic equation a x^2-b x+1=0 has imagi...

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