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Number of roots which are common to the equations `x^3+2x^2+2x+1=0` and `x^(2008)+x^(2009)+1=0,` are (A) 0 (B) 1 (C) 2 (D) 3

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RESONANCE DPP-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  3. Number of roots which are common to the equations x^3+2x^2+2x+1=0 and ...

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  7. The set of points on a Argand diagram which satisfy bot |z|lt=4&A ...

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  8. The number of solutions of z^3+ z =0 is 2 (b) 3 (c) 4 (d) 5

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  9. If omega is an imaginary cube root of unity, then the value of (p+q)^...

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  10. If z0,z1 represent points P ,Q on the locus |z-1|=1 and the line se...

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  11. Let z1=a+i b and z2=c+i d are two complex number such that |z1|=|z2|...

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  12. The centre of a square is at the point with complex number z0=1+i and...

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  13. Intercept made by the circle zbar z + alphabarz+baralpha z +r=0 on ...

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  14. The triangle formed by complex numbers z ,i z ,i^2z is (a)Equilatera...

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  15. If omega!=1 is n^(t h) root of unity, then value of sum(k=0)^(n-1)...

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  16. If product of the roots of the equation 3x^2-4x+(loga^2-log(-a)+3)=0 i...

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  17. The reflection of the complex number (2-i)/(3+i) , (where i=sqrt(-1) ...

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  18. If 0ltaltbltc and the roots alpha,beta of equation a="" x^2+b="" x+c="...

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  19. A, B, C are the point representing the complex numbers z1,z2,z3 respec...

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  20. ((-1+isqrt(3))/2)^6+((-1-isqrt(3))/2)^6+((-1+isqrt(3))/2)^5+((-1-isqrt...

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