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If z(1), z(2) are two non-zero complex n...

If `z_(1), z_(2)` are two non-zero complex numbers satisfying `|z_(1)+z_(2)|=|z_(1)|+|z_(2)|`, show that Arg `z_(1)`- Arg `z_(2)=0`

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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-COMPLEX NUMBERS-EXERCISE -1 (C)
  1. If sqrt(3)+i= r(cos theta+isin theta), then find the value of theta in...

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

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

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

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

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

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

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

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

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

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

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

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

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  15. If z=(x+iy) and if the point P in the Argand plane represent z, then d...

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  16. If z=(x+iy) and if the point P in the Argand plane represent z, then d...

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  17. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

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  18. If z=(x+iy) and if the point P in the Argarand plane represent z, then...

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  19. If z(1), z(2) are two non-zero complex numbers satisfying |z(1)+z(2)|=...

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  20. z=x+iy and the point P represents z, in the Argand plane and ||(z-a)/(...

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