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Write the conjugate of the complex numbe...

Write the conjugate of the complex numbers
`(2+5i)(-4+6i)`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-COMPLEX NUMBERS-EXERCISE -1 (B)
  1. Write the conjugate of the complex numbers 3+4i

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  2. Write the conjugate of the complex numbers (15+3i)-(4-20i)

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  3. Write the conjugate of the complex numbers (2+5i)(-4+6i)

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  4. Write the conjugate of the complex numbers (5i)/(7+i)

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  5. Simplifiy i^(2)+i^(4)+i^(6)+.....+(2n+1) terms

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  6. Simplifiy i^(18)-3.i+i^(2)(1+i^(4))(-i)^(26)

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  7. Find the square root of the following complex number: -8-6i

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  8. Find a square root for the complex numbers. (3+4i)

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  9. Find a square root for the complex numbers. (-47+i8 sqrt(3))

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  10. Find the multiplicative inverse of the complex numbers. sqrt(5)+3i

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  11. Find the multiplicative inverse of the complex numbers. -i

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  12. Find the multiplicative inverse of the complex numbers. i^(-35)

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  13. If (a+ib)^(2)=x+iy, find x^(2)+y^(2)

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  14. If x+iy=3/(2+costheta +i sin theta), then show that x^2+y^2=4x-3

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  15. If x+iy=(1)/(1+ cos theta+ isin theta), show that 4x^(2)-1=0

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  16. If u+iv=(2+i)/(z+3) and z=x+iy find u, v

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  17. If z=3-5i Show that z^(3)-10z^(2)+58z-136=0

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  18. If z=2-isqrt(7), then show that 3z^(3)-4z^(2)+z+88=0

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  19. Show that (2-i)/((1-2i)^(2)) and ((-2-11 i)/(25)) are conjugate to eac...

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  20. (x+iy)^(1/3) =(a+ib) then prove that (x/a+y/b)=4(a^2-b^2)

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