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If z ne0, find Arge z+Arg bar z...

If `z ne0`, find Arge `z+Arg bar z`

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If the Arg bar z_(1) and Arg z_(2) are (pi)/(5) and (pi)/(3) respectively,find (Arg z_(1)+Argz_(2))

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If z _(1) =- 1, z _(2) = i, then find Arg ((z _(1))/( z _(2))).

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-COMPLEX NUMBERS-EXERCISE -1 (C)
  1. Express the complex numbers modulus -amplitude form -1-isqrt(3)

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  2. Simplify -2i(3+i)(2+4i)(1+i) and obtain the modulus of that complex nu...

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  3. If z ne0, find Arge z+Arg bar z

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  4. If z(1)=-1 and z(2)=-i, then find Arg (z(1)z(2))

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  5. If z(1)=-1,z(2)=i then find Arg ((z(1))/(z(2)))

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  6. If ( cos 2 alpha+ isin 2alpha)(cos 2 beta+ isin 2 beta)= cos theta+i...

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  7. If sqrt(3)+i= r(cos theta+isin theta), then find the value of theta in...

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  8. If x+iy=(cosalpha+isinalpha)(cosbeta+isinbeta) then value of x^(2)+y^(...

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  9. If (z(2))/(z(1))(z(1) ne 0) is an imaginary number, then find the valu...

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  10. If (sqrt(3)+i)^(100)=2^(99)(a+ib). Then show that a^(2)+b^(2)=4

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  11. If z=x+iy and |z|=1, find the locus of z

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  12. If the amplitude of (z-1)"is" (pi)/(2), then find the locus of z.

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  13. If the Arg barz(1) Arg z(1) "are" (pi)/(5) and (pi)/(3) respectively f...

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  14. If z=(1+2i)/(1-(1-i)^2), t h e n\ "a r g"(z) equals 0 b. pi/2 c. pi d....

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  15. Simplify the following complex numbers and find their modulus. =((2+...

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  16. Simplify the following complex numbers and find their modulus. ((1+...

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  17. If (1-i)(2-i)(3-i)....(1-ni)=x- iy then prove that 2.510..... (1+n)^(2...

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  18. If the real part of (z+1)/(z+i) is 1, then find the locus of z.

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  19. If |z-3+i|=4 determine the locus of z.

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  20. If |z+ai|=|z-ai| then find the locus of z.

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