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Find all the roots of x^(3)-1=0. Show th...

Find all the roots of `x^(3)-1=0`. Show that if `omega` is a complex root of this equation, the other complex root is `omega^(2)` and `1+omega+omega^(2)=0.`

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CHHAYA PUBLICATION-COMPLEX NUMBER-EXERCISE 4(SHORT ANSWER TYPE QUESTION )
  1. Find all the roots of x^(3)-1=0. Show that if omega is a complex root ...

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  2. If sqrt(x-iy)=a-ib and a,b,x,y are real then show that, sqrt(x+iy)=a+...

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  3. If |z+5|le6, find the maximum and minimum values of |z+2|,z being a co...

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  4. If x,y are real and (y^(2)x-5i) and {4+i(x+y^(2))} are conjugate to ea...

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  5. If z(1)=4-3iand z(2)=-12+5i, "show that", bar(z(1)+z(2))=bar(z(1))+b...

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  6. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)+z(2)|lt|z(1)|+|z(2)|

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  7. If z(1)=4-3iand z(2)=-12+5i, "show that", bar(z(1)z(2))=bar(z(1))*ba...

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  8. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)z(2)|=|z(1)||z(2)|

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  9. If z(1)=4-3iand z(2)=-12+5i, "show that", |z(1)/z(2)|=|z(1)|/|z(2)|

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  10. If z=2-3i, express (1-2z)/(z-3) in the form A+iB where A and B are rea...

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  11. If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value o...

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  12. If (2+i)/(2-3i)=A+iB (A,B" ""are real", i =sqrt(-1)), find the value o...

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  13. Express each of the following complex numbers in modulus-amlitude form...

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  14. Express each of the following complex numbers in modulus-amlitude form...

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  15. Express each of the following complex numbers in modulus-amlitude form...

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  16. Express each of the following complex numbers in modulus-amlitude form...

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  17. Express each of the following complex numbers in modulus-amlitude form...

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  18. If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (a-ib)(c-id...

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  19. If a,b,c,d,x,y are real and (a+ib)(c+id)=x+iy, show that , (ac-bd)^(2)...

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  20. If (a+ib)/(c+id)=x+iy prove that, (a-ib)/(c-id)=x-iy

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