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If 1,2,3 and 4 are the roots of the equation `x^4+ax^3+bx^2+cx+d`=0 then a+2b+c=

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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
  1. If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...

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  2. If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...

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  3. If 1,2,3 and 4 are the roots of the equation x^4+ax^3+bx^2+cx+d=0 then...

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  4. If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...

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  5. If 1,alpha,alpha^2.......alpha^(n-1) are the nth roots of unity then p...

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  6. Prove that ifz1,z2 are two complex numbers and cgt0 then abs((z1+z2)...

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  7. Ifz1,z2,z3 are the vertices of an equilateral triangle with z0 as its ...

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  8. If abs(z+(1/z))=a where z is a complex number find the least and the g...

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  9. A(z1),B(z2),C(z3) are the vertices a triangle ABC inscribed in the cir...

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  10. The roots z1,z2,z3 of the equation x^3+3ax^2+3bx+c=0 in which a,b,c ar...

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  11. Ifa,b,c,p,q,r be six complex numbers such that a/p+b/q+c/r=0and p/a+q/...

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  12. The solution of the equation absz-z=1+2i is

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  13. The amplitude of 1+itan 3pi/5 is

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  14. The locus represented by the equation abs(z-1)=abs(z-i) is

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  15. if x=9^(1/3)9^(1/9)9^(1/27)…..infty,y=4^(1/3)4^(1/9)4^(1/27)…..infty a...

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  16. If the fourth roots of unity are z1,z2,z3,z4 then z1^2+z2^2+z3^2+z4^2 ...

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  17. If i=sqrt(-1) then 4+5(-1/2+(isqrt3)/2)^334+3(-1/2+(isqrt3)/2)^365 is ...

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  18. Let z1 and z2 be the nth roots of unity which subtend a right angle at...

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  19. If x^5=(4-3i)^5 thrn the product of all of its roots (wheretheta=-tan^...

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  20. If omega is an imaginary x^n root of unit then underset(r=1)oversetnsu...

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