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

if `z_(1) = 3-i and z_(2) = -3 +i, ` then find ` Re ((z_(1)z_(2))/(barz_(1)))`

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x =2 , y =3
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AAKASH INSTITUTE ENGLISH-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-Try Yourself
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  4. Let z(1)=2-i and z(2)=2+i, then "Im"((1)/(z(1)z(2))) is

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  8. If ((a+i)^2)/((2a-i))=p+i q , show that: p^2+q^2=((a^2+1)^2)/((4a^2+1)...

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  9. Represent the modulus of 3+4i in the Argand plane.

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  10. Represent the modulus of 1+i, in the Argand plane.

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  11. Find the modulus of (2 -3i)/( 4+i)

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  12. Find the modulus of ((3+2i)^(2))/(4-3i)

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  13. If z(1)=5+2i and z(2)=2 +i ,verify (i) |z(1)z(2)|= |z(1)||z(2)|

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  14. if z(1) =2+3i and z(2) = 1+i then find, |z(1)+z(2)|

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  15. Find the modulus and argument of -4i.

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  16. Find the modulus and argument of -3.

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  17. Convert the complex number (1+i)/(1-i) in the polar form

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  18. Convert the complex number 4/(1-isqrt3) in the polar form.

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  19. Find the square root of -6+8i.

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  20. Find the square root of 5-12i

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