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- Find the minimum value of |z-1 if ||z-3|-|z+1||=2.
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- Find the greatest and the least value of |z1+z2| ifz1=24+7ia n d|z2|=6...
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- If z is a complex number, then find the minimum value of |z|+|z-1|+|2z...
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- If |z1-1|lt=,|z2-2|lt=2,|z(33)|lt=3, then find the greatest value of |...
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- Prove that following inequalities: (i) |(z)/(|z|) -1| le |arg z| (...
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- Identify the locus of z if z = a +(r^2)/(z-a),> 0.
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- If z is any complex number such that |3z-2|+|3z+2|=4 , then identify t...
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- If |z|=1 and let omega=((1-z)^2)/(1-z^2) , then prove that the locus o...
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- Let z be a complex number having the argument theta,0<theta<pi//2,a n ...
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- How many solutions the system of equations ||z + 4 |-|z-3i|| =5 and...
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- Prove that |Z-Z1|^2+|Z-Z2|^2=a will represent a real circle [with cent...
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- If |z-2-3i|^(2) + |z- 5 - 7i|^(2)= lambda respresents the equation ...
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- If (|2z - 3|)/(|z-i|)= k is the equation of circle with complex numbe...
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- Find the point of intersection of the curves a r g(z-3i)=(3pi)/4a n d ...
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- If complex numbers z(1)z(2) and z(3) are such that |z(1)| = |z(2)| = |...
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- If the triangle fromed by complex numbers z(1), z(2) and z(3) is eq...
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- Show that the equation of a circle passings through the origin and...
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- The triangle formed by A(z(1)), B(z(2)) and C(z(3)) has its circumc...
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- Let vertices of an acute-angled triangle are A(z1),B(z2),a n dC(z3)dot...
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- If z1, z2, z3 are three complex numbers such that 5z1-13 z2+8z3=0, the...
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