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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
- 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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- Write the argument of (1+isqrt(3))(1+i)(costheta+isintheta).
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- The value of (1+i)(1+i^2)(1+i^3)(1+i^4) is a. 2 b. 0 c. 1 d. i
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- If (3+2i sintheta)/(1-2i sintheta) is a real number and 0lt theta lt 2...
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- If sqrt(a+i b)=x+i y ,\ then possible value of sqrt(a-i b) is a. x^...
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- If z=cos(pi/4)+isin(pi/6) , then a. |z|=1, arg(z)=\ pi/4 b. |z|=1, a...
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- The polar form of (i^(25))^3 is
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- If i^2=-1, then the sum i+i^2+i^3+... upto 1000 terms is equal to a....
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- If z=(-2)/(1+isqrt(3)) , then the value of "arg"(z) is a. pi b. pi/...
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