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RD SHARMA-COMPLEX NUMBERS-Solved Examples And Exercises
- Express the following in the standard form a+i b :(5+4i)/(4+5i)
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- Express the following in the standard form a+i b :1/(-2+sqrt(-3))
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- Express the following in the standard form a+i b :((3+isqrt(5))(3-isqr...
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- Express the following in the standard form a+i b :((1+i)^2)/(3-i)
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- Express the following in the standard form a+i b :(1/(1-2i)+3/(1+i))((...
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- Express the following in the standard form a+i b :1/(1-costheta+2i sin...
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- Express (1-2i)^(-3) in the standard form a+i bdot
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- Perform the indicated operation and find the result in the form a+i b ...
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- Perform the indicated operation and find the result in the form a+i b ...
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- Multiply 3-2i by its conjugate.
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- Find the real numbers x\ a n d\ y , if (x-i y)(3+5i) is the conjugate ...
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- Find the multiplicative inverse of the complex number: 3+2i
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- Find the multiplicative inverse of the following complex number: (2+sq...
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- If a+i b=((x+i)^2)/(2x^2+1), prove that a^2+b^2=((x^2+1)^2)/((2x^2+1)^...
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- If x+i y=sqrt((a+i b)/(c+i d)) prove that (x^2+y^2)^2=(a^2+b^2)/(c^2+d...
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- Find the least positive value of n if ((1+i)/(1-i))^n=1.
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- Find real theta such that (3+2i\ sintheta)/(1-2i\ sintheta) is purely ...
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- If (1+i)(1+2i)(1+3i)(1+n i)=(x+i y) , Show that 2.5.10 ..... (1+n^2)=x...
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- Find the value of x^3+7x^2-x+1,\ w h e n\ x=1+2idot
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- Prove that: x^4+4=(x+1+i)(x+1-i)(x-1+i)(x-1-i).
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