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find the multiplicative inverse of the c...

find the multiplicative inverse of the complex number 2 + 9i .

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The correct Answer is:
`2/85 + i((-9)/85)`
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
  1. if z(1)=2+3i, z(2)=1-iand z(3) = 3+ 4i,then find z(1)z(2) +z(3)

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  2. if z(1) =-1 + 3i and z(2)= 2 + i then find 2(z(1) +z(2))

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  3. find the multiplicative inverse of the complex number 2 + 9i .

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  4. Express ( 4 - 5/2 i)^(2) in the form of a + ib.

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  5. Express (1 -i)^(4) in the form of a +ib.

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  6. Express ( 1/3 + 4/3 i)^(2) in the form of a + ib.

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  7. if z(1) = 3i and z(2) =1 + 2i , then find z(1)z(2) -z(1)

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  8. Express 1/(1+cos theta-i sin theta) in the form of a +ib.

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  9. Express (1 /(2 -2i)+3/(1+i)) ((3+ 4i)/(2-4i)) in the form of a +ib

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  10. Show that the complex number ((4+3i)/(3 + 4i)) ((4 -3i)/(3-4i)) is pu...

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  11. Find real q such that (3+2isintheta)/(1-2isintheta) is purely real.

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  12. Plot the conjegate of the complex number 2-3i on the Argand plane.

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  13. Plot the conjegate of the complex number -7-4i on the Argand plane. ]

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  14. Mutiply ( 5 +2i) by its conjugate.

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  15. Find the conjugate of ((1-2i)^(2))/(2 + i)

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  16. if z = 2 + i + 4i^(2) -6i^(3) then verify that (i) (bar(z^(2)) = (...

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  17. if z=3 -2i, then verify that (i) z + barz = 2Rez (ii) z - bar...

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  18. if z(1) = 3-i and z(2) = -3 +i, then find Re ((z(1)z(2))/(barz(1))...

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  19. Let z(1)=2-i and z(2)=2+i, then "Im"((1)/(z(1)z(2))) is

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  20. Find real values of x and y for which the complex numbers 7 + ix^(2)y...

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