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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...
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- If the roots of the equation x^2-8x+a^2-6a=0 are real distinct, then f...
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- Solve :z^2+|z|=0 .
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- If roots of equation x^2-2c x+a b=0 are real and unequal, then prove ...
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- Find the range of real number alpha for which the equation z+alpha|z-1...
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- 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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- If (1+i)^2 /(3 - i)=Z , then Re(z) =
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- Find the quadratic equation with rational coefficients whose one root ...
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- Let z be a complex number satisfying the equation (z^3+3)^2=-16 , then...
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- If P(x) = ax^2+bx+c, and Q(x) = -ax^2+dx+c, acne 0, then prove that P(...
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- Find the real numbers x and y if (x-iy)(3+5i) is the conjugate of -6-2...
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- If x is real, then x//(x^2-5x+9) lies between a.-1a n d-1//11 b. ...
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- Find the least positive integer n such that ((2i)/(1+i))^n is a positi...
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- 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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- Find the real part of e^(ei theta)
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- If alpha, beta and gamma are the roots of x^3 - x^2-1 = 0, then value ...
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- Prove that z=i^i, where i=sqrt-1, is purely real.
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- If alpha,beta,gamma,delta are the roots of the equation x^4-K x^3+K x^...
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- In A B C ,A(z1),B(z2),a n dC(z3) are inscribed in the circle |z|=5. I...
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- Suppose that f(x) isa quadratic expresson positive for all real xdot I...
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