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PATHFINDER-COMPLEX NUMBER-QUESTION BANK
- The roots of the equation Z^3+1=0 are called cube roots of unity.Clear...
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- LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...
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- LetA(z1),B(z2) and C(z3) be the three points in Argands plane The po...
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- Match List - I with List-II
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- Match List - I with List-II
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- If Argzlt0 then (Arg(-z)-Arg(z))/(pi(cos(pi/3)) is equal to
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- If s(n)=i^n+i^(-n) where i=sqrt(-1) and n is an integer then the total...
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- Let omega be the complex number cos(2pi/3)+isin(2pi/3) Then the number...
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- if z is any complex number satisfying abs(z-3-2i)le2 then the minimum ...
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- Ifomega is a nonreal cube root of unity then (a+bomega+cw^2)/(c+aome...
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- If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...
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- If(cosalpha+cosbeta+cosgamma)=0, sinalpha+sinbeta+singamma=0 then show...
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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...
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- If z1 and z2 are non zero complex numbers such that abs(z1-z2)=absz1+a...
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- If 1,alpha,alpha^2.......alpha^(n-1) are the nth roots of unity then p...
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- Prove that ifz1,z2 are two complex numbers and cgt0 then abs((z1+z2)...
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- Ifz1,z2,z3 are the vertices of an equilateral triangle with z0 as its ...
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- If abs(z+(1/z))=a where z is a complex number find the least and the g...
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- A(z1),B(z2),C(z3) are the vertices a triangle ABC inscribed in the cir...
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- 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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