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RD SHARMA ENGLISH-COMPLEX NUMBERS-All Questions
- 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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- The value of (1+i)^4+(1-i)^4 is
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- If the complex number z=x+i y satisfies the condition |z+1|=1, then ...
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- If z = x + iy lies in III quadrant, then bar z / z also lies in III qu...
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- If a=costheta+i sintheta, find the value of (1+a)/(1-a)dot
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- Let z1=r1(costheta1+isintheta1)a n dz2=r2(costheta2+isintheta2) be two...
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- For a positive integer n , find the value of (1-i)^n(1-1/i)^ndot
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