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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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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- Find the roots of the equation 2x^2 - x + 1/8 = 0
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- If |z +2 - i|=5 then the maximum value of |3z+9-7i| is K, then find k
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- 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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- Find the minimum value of the expression E= |z|^2+ |z-3|^2 + |z- 6i|^2...
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- The area bounded by the curves arg z = pi/3 and arg z = 2 pi /3 and a...
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- If alpha!=betaa n dalpha^2=5alpha-3a n dbeta^2=5beta-3. find the equat...
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- Express 1/(1-costheta+2isintheta) in the form x+i y .
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- a ,b ,c are three complex numbers on the unit circle |z|=1, such that ...
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- If alpha,beta are the roots of lthe equation 2x ^2-3x-6=0, find the eq...
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- If z1, z2, z3 are distinct nonzero complex numbers and a ,b , c in R...
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- If |z1|=15 and |z2-3-4i|=5,t h e n
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- Determine the values o m for which equations 3x^2+4m x+2=0a n d2x^2+3x...
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- If z=((sqrt(3)+i)^(17))/((1-i)^(50)) , then find a m p(z)dot
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- A rectangle of maximum area is inscribed in the circle |z-3-4i|=1. If ...
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- If alpha,beta are the roots of the equation a x^2+b x+c=0, then find t...
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- If (3pi)/2 < alpha < 2pi then the modulus argument of (1+cos 2alpha)+i...
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- The value of z satisfying the equation logz+logz^2+dot+logz^n=0 i s ...
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- If the difference between the roots of the equation x^2+a x+1=0 is les...
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