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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- If z1a n dz2 are complex numbers and u=sqrt(z1z2) , then prove that |z...
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- The least value of the expression x^2+4y^2+3z^2-2x-12 y-6z+14 is a....
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- If omega is an imaginary cube root of unity, then (1+omega-omega^2)^7 ...
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- If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus o...
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- If x=2+2^(2//3)+2^(1//3) , then the value of x^3-6x^2+6x is (a)3 ...
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- Let z=x+i ydot Then find the locus of P(z) such that (1+ bar z )/z ...
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- (costheta + isintheta)^4/(sintheta + icostheta)^5 is equal to.
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- Find the values of k for which |(x^2+k x+1)/(x^2+x+1)|<2,AAx in R
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- Identify locus z if R e(z+1)=|z-1|
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- If z is a complex number satisfying z^4+z^3+2z^2+z+1=0 then the set of...
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- Solve the equation sqrt(a(2^x-2)+1)=1-2^x for every value of the param...
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- If |z1|=1,|z2|=2,|z3|=3,a n d|9z1z2+4z1z3+z2z3|=12 , then find the va...
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- Let Z1 = (8 + i)sin theta + (7 + 4i)cos theta and Z2 = (1 + 8i)sin th...
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- For alt=0 , determine all real roots of the equation x^2-2a|x-a|-3a^2=...
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- 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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- Express the following in a+i b form: ((cosalpha+isinalpha)^4)/((sinbe...
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- Find the root of equation 2x^2+10 x + 20=0.
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- Suppose that z is a complex number the satisfies |z-2-2i|lt=1. The max...
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- If 1//x+x=2costheta , then prove that x^n+1//x^n=2cosnthetadot
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- 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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