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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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 of z which lies in shaded region (excluding the boundaries) ...
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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 rho...
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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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- sum(k=1)^6 (sin,(2pik)/7 -icos, (2pik)/7)=?
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- If the equation a x^2+b x+c=0(a >0) has two real roots alphaa n db...
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- If fig shows the graph of f(x)=a x^2+b x+c ,t h e n Fig a. c<0 b. b c...
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- If det|6i -3i 1 4 3i-1 20 3 i|=x+i y , then a.x=3,y=1 b. x=1...
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- Let z=x+i y be a complex number, where xa n dy are real numbers. Let...
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- If z=((sqrt(3))/2+i/2)^5+((sqrt(3))/2-i/2)^5 , then prove that I m(z)=...
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