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Express in the form a+bi (1+i)/(1-i)...

Express in the form a+bi `(1+i)/(1-i)`

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`(1+i)/(1-i)=((1+i)^2)/2=(1-1+2i)/2`
`=i=0+i`
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MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Express in the form ((I+i)^2)/(3-i)

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  2. Express in the form((a+ib)^3)/(a-ib)-((a-ib)^3)/(a+ib)

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  3. Express in the form a+bi (1+i)/(1-i)

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  4. Express the 1 points geometrically in the Argrand plane.

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  5. Express the 3i points geometrically in the Argrand plane.

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  6. Express the -2 points geometrically in the Argrand plane.

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  7. Express the 3+2i points geometrically in the Argand plane.

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  8. Express the -3+ipoints geometrically in the Argand plane.

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  9. Express the 1-i points geometrically in the Argand plane.

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  10. Show that the following number are equidistant from the origin :sqrt2 ...

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  11. Express sqrt2+ i =r cos theta +ir sin thetacomplex numbers in the pol...

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  12. Express 1+isqrt2=r cos theta +sin theta complex numbers in the polar ...

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  13. Express isqrt3 =rcos theta +ir sin theta complex numbers in the polar...

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  14. If 1,omega, omega^2 are the three cube roots of unity, prove that (1+o...

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  15. (1-omega +omega^2)(1+omega-omega^2)=4

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  16. (1-omega)(1-omega^2)(1-omega^4)(1-omega^5)=9

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  17. (2+5omega +2 omega^2)^6=(2+2omega+5 omega^2)^6=729

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  18. (1-omega+omega^2)(1-omega^2+omega^4)(1-omega^4+omega^2)….to 2n Factor...

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  19. Prove that x^3+y^3+z^3-3xyz =(x+y+z)(x+omegay+omega^2z)(x+yomega^2+z ...

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  20. If x=a+b, y=a omega+b omega^2,z=a omega^2+bomega show thatxyz =a^3+b^3

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