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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
- Find the multiplicative of the following complex number: \ 4-3i
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- Find the multiplicative of the following complex number: (1+isqrt(3))^...
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- Find the multiplicative of the following complex number: sqrt(5)+3i
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- If z1=2-i ,\ z2=1+i , find |(z1+z2+1)/(z1-z2+i)|.
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- If z1=2-i ,\ z2=-2+i , find : R e((z1z2)/bar(z1))
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- If z1=2-i ,\ z2=-2+i , find : Im(1/(z1bar(z1))).
02:15
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- Find the modulus of (1+i)/(1-i)-(1-i)/(1+i)
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- If x+i y=(a+i b)/(a-i b) prove that x^2+y^2=1
02:30
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- Write the least positive integral value of n for which ((1+i)/(1-i))^n...
02:29
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- 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-...
04:54
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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)...
03:48
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- If z1 is a complex number other than -1 such that |z1|=1\ a n d\ z2=(z...
03:36
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- Solve the system of equations R e(z^2)=0,\ |z|=2
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