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CENGAGE PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- 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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- Find 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<...
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- If |[6i,-3i,1],[ 4, 3i,-1],[ 20, 3,i]|=x+i y , then a.x=3,y=1 b. x=1,y...
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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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- The value of sum(n=1)^(13) (i^n+i^(n+1)), where i =sqrt(-1) equals ...
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- If c!=0 and the equation p//(2x)=a//(x+c)+b//(x-c) has two equal roots...
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- If the equation 4x^2-x-1=0 and 3x^2+(lambda+mu)x+lambda-mu=0 have a r...
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- Express the following in a+i b form: ((cos2theta-isin2theta)^4(cos4...
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- The roots of the equation t^3+3a t^2+3b t+c=0a r ez1, z2, z3 which rep...
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- Solve the equation (x-1)^3+8=0 in the set C of all complex numbers.
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- If 'z, lies on the circle |z-2i|=2sqrt2, then the value of arg((z...
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- If the equation whose roots are the squares of the roots of the cubic ...
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