If arg(z-1)=arg(z+3i), then find x-1,y, ...

If `arg(z-1)=arg(z+3i)`, then find `x-1,y, ` where `z=x+iy`

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`1:3`

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KUMAR PRAKASHAN-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (LONG ANSWER TYPE QUESTIONS)

If |z+1|=z+2(1+i) then find the value of z.
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If arg(z-1)=arg(z+3i), then find x-1,y, where z=x+iy
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Show that |(z-2)/(z-3)|=2 represents a circle. Find the centre of radi...
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If (z-1)/(z+1) is purely imaginary number (zne-1) then find the value ...
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z(1) and z(2) are two complex number such that |z(1)|=|z(2)| and arg (...
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If |z(1)|=1(z(1) ne -1) and z(2)=(z(1)-1)/(z(1)+1) then show that the ...
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If z(1), z(2) and z(3), z(4) are two pairs of conjugate complex number...
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If |z(1)|=|z(2)|=....|z(n)|=1, then show that, |z(1)+z(2)+z(3)+....z(n...
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If the complex numbers z(1) and z(2) arg (z(1))- arg(z(2))=0 then show...
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Solve the system of equation Re(z^(2))=0,|z|=2.
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Find the complex number satsifying the equation z+sqrt(2)|(z+1)|+i=0
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Convert the complex number z=(1-i)/(cos pi/3 + I sin pi/3) in the pola...
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If z and we are two complex numbers such that |zw|=1 and arg(z)-arg(w)...
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Fill in the blanks of the following For any two complex numbers z(1)...
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Fill in the blanks of the following The number ((1-i)^(2))/(1-i^(3))...
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Fill in the blanks of the following The sum of the series i+i^(2)+i^...
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Fill in the blanks of the following Multiplicative inverser of 1+I i...
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Fill in the blanks of the following If z(1) and z(2) are complex num...
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Fill in the blanks of the following arg(z)+ arg(barz) where (barz ne...
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