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CENGAGE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
- Consider an equilateral triangle having verticals at point A(2/sqrt3 e...
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- Find the number of real roots of the equation (x-1)^2+(x-2)^2+(x-3)^2=...
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- Find the value of (i) (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(58...
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- Let z,z(0) be two complex numbers. It is given that abs(z)=1 and the n...
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- Show that the equation a z^3+b z^2+ barb z+ bara =0 has a root alpha ...
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- If nge3and1,alpha(1),alpha(2),alpha(3),...,alpha(n-1) are the n,nth ...
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- How many roots of the equation 3x^4+6x^3+x^2+6x+3=0 are real ?
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- If the roots of (z-1)^n=i(z+1)^n are plotted in ten Arg and plane, the...
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- Find the value of k if x^3-3x+k=0 has three real distinct roots.
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- Let z=t^2-1+sqrt(t^4-t^2),where t in R is a parameter. Find the locu...
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- If|z|=1 , then prove that points represented by sqrt((1+z)//(1-z)) lie...
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- If omega is an imaginary fifth root of unity, then find the value of ...
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- a ,b ,a n d c are all different and non-zero real numbers on arithmet...
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- Let x^2+y^2+x y+1geqa(x+y)AAx ,y in R , then the number of possible i...
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- If alpha=e^(i2pi//7)a n df(x)=a0+sum(k=0)^(20)ak x^k , then prove that...
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- If w=alpha+ibeta, where beta!=0 and z!=1 , satisfies the condition tha...
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- If z is a non real root of root(7)(-1) , then find the value of z^(86...
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- The quadratic equation x^2+m x+n=0 has roots which are twice those of ...
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- Let omega=-1/2+i(sqrt(3))/2, then value of the determinant [[1, 1, 1]...
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- All the value of k for which the quadratic polynomial f(x)=2x^2+k x+2=...
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