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OBJECTIVE RD SHARMA-COMPLEX NUMBERS -Chapter Test
- If z lies on the circle |z-1|=1, then (z-2)/z is
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- If a gt 0 and the equation |z-a^(2)|+|z-2a|=3, represents an ellipse, ...
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- For any complex number z , find the minimum value of |z|+|z-2i|dot
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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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- For all complex numbers z1, z2 satisfying |z1| =12 and |z2-3-4i|=5, ...
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- If k gt 1, |z(1)| lt k and |(k-z(1)barz(2))/(z(1)-kz(2))|=1, then
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- If |z-i|=1 and arg (z) =theta where 0 lt theta lt pi/2, then cottheta-...
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- If Re(z)<0 then the value of (1+z+z^2+.....+z^n) cannot exceed
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- Let z(1),z(2),z(3) be three complex numbers satisfying 1/z(1)+1/z(2)+1...
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- a and b are real numbers between 0 and 1 such that the points z1 =a+ i...
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- If omega is a cube root of unity, then find the value of the following...
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- If a ,b ,c and u ,v ,w are the complex numbers representing the vertic...
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- If z=re^i theta then |e^(iz)| is equal to:
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- If a complex number z lies in the interior or on the boundary of a cir...
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- Let z1 and z2 be two non - zero complex numbers such that z1/z2+z2/z...
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- If z(1),z(2),z(3) be vertices of an equilateral triangle occurig in th...
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- Let z be a complex number satisfying |z-5i|<=1 such that amp(z) is min...
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- If |z-25i| lt= 15. then |"maximum " arg(z) - "minimum " arg(z)| equals
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- Let z be a complex number (not lying on x-axis) of maximum modulus suc...
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- The maximum distance from the origin of coordinates to the point z sat...
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