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If z(1) = 6 + 9i and z(2) = 5 + 2i the...

If ` z_(1) = 6 + 9i and z_(2) = 5 + 2i ` then find ` z_(1)/z_(2)`

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AAKASH INSTITUTE-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
  1. Find the values of x and y , if x + 4yi = ix + y + 3 where x ,y in ...

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  2. If z(1) = 4 -I and z(2) = - 3 + 7i then find (i) z(1) +z(2) (...

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  3. If z(1) = 6 + 9i and z(2) = 5 + 2i then find z(1)/z(2)

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  4. if z= 1 +i, z(2)= 2 -3i and z(3) = 5+ 2i then find z(1)-z(2)+3z(3)

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

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

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

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  9. express (1 -i)^(4) in the form of a +ib.

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

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

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

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

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

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

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

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

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

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

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

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