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Express in the form a+ib:(3+5i)/(2-3i)...

Express in the form `a+ib:(3+5i)/(2-3i)`

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`(3+5i)/(2-3i)=((3+5i)(2+3i))/((2-3i)(2+3i))`
`=(6+9i+10i+15i^2)/(9-9i^2)`
`=(6-15+19i)/(4+9) =(-9)/(13)+(19i)/(13)`
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MBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
  1. Find the value of (-i)^(4n+3),when n is positive.

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  2. Find the square of (a+40i)+sqrt(9-40sqrt(-i))

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  3. Express in the form a+ib:(3+5i)/(2-3i)

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  4. Express in the form a+bi (sqrt3-isqrt2)/(2sqrt3-isqrt3)

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  5. Express in the form ((I+i)^2)/(3-i)

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

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

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

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

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

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

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

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

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

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

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

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

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

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  19. (1-omega +omega^2)(1+omega-omega^2)=4

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  20. (1-omega)(1-omega^2)(1-omega^4)(1-omega^5)=9

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