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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
- Find the modulus and argument of the following complex number and henc...
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- Write (i^(25))^3 in polar form.
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- Write the values of the square root of idot
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- Write the values of the square root of -i.
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- If x+i y=sqrt((a+i b)/(c+i d)), then write the value of (x^2+y^2)^2.
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- If pi<theta<2pi\ a n d\ z=1+costheta+isintheta , then write the value ...
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- If n is any positive integer, write the value of (i^(4n+1)-i^(4n-1))/2...
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- Write the value of (i^(592)+i^(590)+i^(588)+i^(586)+i^(584))/(i^(582)+...
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- Write 1-i in polar form.
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- Write -1+isqrt(3)\ in polar form.
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- Write the argument of idot
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- Find the principal argument of (1+isqrt(3))^2dot
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- Find z ,\ if\ |z|=4\ and \ arg(z)=(5pi)/6 .
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- Write the value of sqrt(-25)xxsqrt(-9)dot
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- Write the value of a r g(z)+a r g( z ) .
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- If |z+4|lt=3 then find the greatest and least values of |z+1|dot
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- For any two complex numbers z1\ a n d\ z2 and any two real numbers a ,...
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- If n in NN ,then find the value of i^n+i^(n+1)+i^(n+2)+i^(n+3).
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- Find the real value of a for which 3i^3-2a i^2+(1-a)i+5 is real.
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- If |z|=2 and arg (z)=pi/4 , find z.
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