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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Let complex numbers alpha and 1/alpha^- lie on circles (x-x0)^2+(y-y0...
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- If |z/| barz |- barz |=1+|z|, then prove that z is a purely imaginary ...
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- If x=-5+2sqrt(-4) , find the value of x^4+9x^3+35 x^2-x+4.
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- Let a , b ,a n dc be rel numbers which satisfy the equation a+1/(b c)=...
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- The value of i^(1+3+5+.....+(2n+1)) is.
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- a ,b , c are integers, not all simultaneously equal, and omega is cube...
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- a, b, c are reals such that a+b+c=3 and 1/(a+b)+ 1/(b+c) + 1/ (c+...
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- If z + 1/z = 2costheta, prove that |(z^(2n)-1)//(z^(2n)+1)|=|tannthet...
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- If alpha,beta are the roots of the quadratic equation a x^2+b x+c=0 , ...
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- The locus represented by the equation abs(z-1)=abs(z-i) is
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- Prove that the roots of the equation x^4-2x^2+4=0 forms a rectangle.
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- If a ,b ,c are non-zero real numbers, then find the minimum value of t...
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- If z1a n dz2 are two nonzero complex numbers such that =|z1+z2|=|z1|+|...
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- If diagonals of a parallelogram bisect each other, prove that its a rh...
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- If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...
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- If z=costheta+isintheta is a root of the equation a0z^n+a2z^(n-2)++a(n...
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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=x+iy is a complex number with x, y in Q and |z| = 1, then show ...
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- Referred to the principal axes as the axes of co ordinates find the eq...
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- Find the area bounded by |arg z|lt=pi//4 and |z-1|<|z-3|dot
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