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A DAS GUPTA-COMPLEX NUMBERS-EXERCISE
- If alpha ia ROOT OF x^2+x+1= 0 then show that alpha is also a root of...
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- If p,q,r are three consecutive integers ge3, prove that x^p+x^q+x^r is...
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- If n is n odd integer that is greater than or equal to 3 but not la ul...
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- If z^2(bar omega)^4=1 where omega is a nonreal complex cube root of 1 ...
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- Find z satisfying |z-5i|le3 such that amp z is the minimum.
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- If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals
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- Find the complex number Z, the greatest in absolute value which satisf...
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- Complex number z1, z2 and z3 in AP
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- if |(1-iz)/(z-i)|=1 prove that the locus of the variable point z in th...
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- The equation barbz+bbarz=c, where b is a non-zero complex constant and...
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- Let A(z1) and (z2) represent two complex numbers on the complex plan...
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- Find the area of the triangle whose vertices in the Argand plane are i...
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- Show that the area of the triangle on the Argand diagram formed by the...
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- Find the area of the triangle whose vertices represent the three roots...
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- The complex numbers z1, z2 and the origin form an equilateral triangle...
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- Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...
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- If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...
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- If z1,z2,z3 be the vertices of an equilateral triangle, show that 1/(z...
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- Complex numbers z1 , z2, z3 are the vertices A, B, C respectively of ...
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- The points representing cube roots of unity
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