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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
- Find the real values of theta for which the complex number (1+i costhe...
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- Find the smallest positive integer value of n for which ((1+i)^n)/((1-...
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- If ((1+i)/(1-i))^3-((1-i)/(1+i))^3=x+i y ,\ find\ (x , y)
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- If ((1-i)/(1+i))^(100)=a+i b , find(a , b)
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- Evaluate the following: 2x^3+2x^2-7x+72 ,\ w h e n\ x=(3-5i)/2
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- Evaluate x^4-4x^3 + 4x^2 + 8x + 44, when x = 3 + 2i
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- Evaluate the following:\ x^4+4x^3+6x^2+4x+9,\ w h e n\ x=-1+isqrt(2)
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- Evaluate the following: x^6+x^4+x^2+1,\ w h e n\ x=(1+i)/(sqrt(2))
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- Evaluate the following: \ 2x^4+5x^3+7x^2-x+41 ,\ w h e n\ x=-2-sqrt(3)...
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- If z1 is a complex number other than -1 such that |z1|=1\ a n d\ z2=(z...
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- Solve the system of equations R e(z^2)=0,\ |z|=2
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- If |z+1|=z+2(1+i), find zdot
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- Find the square root of the following complex number: -5+12 i
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- Find the square roots of the following:8\ 6i
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- Find the square root of the following complex number: \ 1+4sqrt(-3)
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- Find the square root of the following complex number: -7-24 i
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- Find square root of 8-15 i
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- Find the square root of the following complex number: 1-i
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- Find the square root of the following complex number: -11-60sqrt(-1)
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- Find the square root of the following complex number: -i
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