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If z=-3x+2yi and barz=6+4i, find the val...

If z=-3x+2yi and `barz=6+4i`, find the values of x and y.

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JBD PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-EXAMPLE
  1. Express each of the complex number in the form of a+ib. (1/5+i2/5)

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  2. Express each of the complex number in the form of a+ib. (i-4)^2

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  3. If z=-3x+2yi and barz=6+4i, find the values of x and y.

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  4. z1=(3x+2y)+(x+2y)i is additive inverse of z2=5-i, find the values of x...

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  5. Write the following in the form a+ib 1/(3+4i)

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  6. Write the following in the form a+ib (1+i)^2/(3-i)

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  7. Find the multiplicative inverse of each of the following complex numbe...

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  8. Find the multiplicative inverse of each of the following complex numbe...

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  9. Find the multiplicative inverse of: z=cos theta- isintheta.

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  10. Verify that bar((2+3i)(1-2i))=bar((2+3i)) bar( (1-2i))

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  11. Find the modulus of the following complex numbers: (3-4i)/(4-31)

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  12. Find the modulus of the following complex numbers: (2+3i)^2/(1-3i)

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  13. Find the number of non-zero integral solutions of the equation |1- i|^...

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  14. If z=x+iy and |z+a|=3|z-a|, show that 2(x^2+y^2)=5ax-2a^2.

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  15. Solve 2x^2+x+1=0

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  16. Solve the following equation : 2x^2-(3 +7i)x + (9i-3)=0.

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  17. Find the modulus and argument of the complex number (1+2 i)/(1- 3i)

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  18. If (x + iy)^3 = u + iv, then show that u/x +v/y = 4(x^2 - y^2)

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  19. If x-iy= sqrt((a-ib)/(c-id)) prove that (x^2+y^2)^2= (a^2+b^2)/(c^2+d^...

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  20. If (a+ib)(c+id)(e+if)(g+ih)=A+iB, then show that: (a^2+b^2)(c^2+d^2)(e...

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