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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 ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-All Questions
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  2. if iz^(3) +z^(2) -z+i=0 , then show that |z| =1.

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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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  4. If z1,z2,z3,z4 be the vertices of a parallelogram taken in anticlockwi...

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  5. about to only mathematics

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  6. The greatest value of the modulus of the complex number ' z ' satisfyi...

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  7. The set of points in an Argand diagram which satisfy both abs(z)le4 an...

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  8. The number of solutions of z^3+ z =0 is (a) 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)^3...

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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. If z1=a+ib and z2=c+id are two complex numbers where a,b,c,d in R and...

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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 z z +a+a z+r=0 on the real axis on comp...

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  14. The triangle formed by the complex numbers z, iz , i^2z is :

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  15. The omega!= 1 is nth root unity, then value of sum(k=0)^(n-1)|z1+omega...

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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="0 a...

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  19. A,B and C are the points respectively the complex numbers z(1),z(2) an...

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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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