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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
- If |z^2-1|=|z|^2+1 , then show that z lies on the imaginary axis.
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- Solve the equation |z+1|=z+2(1+i)dot
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- Solve the equation z^2= barz
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- Find a complex number z satisfying the equation z+sqrt(2)|z+1|+i=0.
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- Show that |(z -2)/(z - 3)| = 2 represents a circle, find its centre ...
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- If z=x+i y , then show that z bar z +2(z+ bar z )+a=0 , where a in ...
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- If the real part of (z +2)/(z -1) is 4, then show that the locus of h...
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- For any complex number z prove that |R e(z)|+|I m(z)|<=sqrt(2)|z|
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- Find the square roots of the following: i
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- If ((1+i)/(1-i))^2=x+i y , findx+ydot
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- If for complex numbers z1 and z2 and |1-bar(z1)z2|^2-|z1-z2|^2=k(1-|z1...
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- If arg(z-1)=arg(z+2i), then find (x-1):y, where z=x+iy
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- Solve the equation |z|=z+1+2idot
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- If z 1 and z 2 are two non zero complex numbers such that ...
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- If for complex numbers z1 and z2 ,arg(z1) - arg(z2)=0 , then show tha...
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- What is the smallest positive integer n for which (1+i)^(2n)=(1-i)^(2n...
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- If (1+i)z=(1-i) barz , then show that z=-i barz dot
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- Write the conjugate of (2-i)/((1-2i)^2) .
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- lf z(!=-1) is a complex number such that [z-1]/[z+1] is purely imagina...
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- If z and w are two complex number such that |zw|=1 and arg (z) – arg (...
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