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Find real numbers x and y such that 3x +...

Find real numbers x and y such that `3x +2iy-ix+5y =7 +5i`.

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MODERN PUBLICATION-COMPLEX NUMBERS-EXERCISE
  1. Write the real and imaginary parts of the following complex numbers : ...

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  2. Write the real and imaginary parts of the following complex numbers : ...

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  3. Find real numbers x and y such that 3x +2iy-ix+5y =7 +5i.

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  4. Find x and y such that 2x + 4iy and 2i represent the same complex numb...

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  5. Find x and y, if (3y - 2) +i(7-2x) = 0.

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  6. Find the values of x and y if : 3x + (2x-y)i= 6-3i.

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  7. Find the values of x and y if : 3x +5iy = 5i.

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  8. Find the values of x and y if : 4x +i (3x-y)=3+i (-6).

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  9. Find the values of x and y if : (3/sqrt5 x-5)+2 sqrt5 yi= sqrt2.

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  10. Find the modulus and amplitude of the following : -1+ i.

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  11. Find the modulus and amplitude of the following : -1- i sqrt3.

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  12. Find the modulus and amplitude of the following : -sqrt3+i.

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  13. Find the modulus and amplitude of the following : (1+i)/(1-i).

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  14. Find the modulus and amplitude of the following : 1/(1+i).

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  15. If two complex numbers z1,z2 are such that |z1|= |z2|, is it then nece...

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  16. Write the complex numbers that represent the following points in the p...

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  17. Write the complex numbers that represent the following points in the ...

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  18. Write the complex numbers that represent the following points in the p...

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  19. Write the complex numbers that represent the following points in the p...

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  20. Write the complex numbers that represent the following points in the p...

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