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Find the modulus of (1+i)/(1-i) - (1-i)/...

Find the modulus of `(1+i)/(1-i) - (1-i)/(1+i)`

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(1+i)/(1-i)-(1-i)/(1+i)=((1+i)^(2)-(1-i)^(2))/((1-i)(1+i))=((1+2 i-1)-(1-2 i-1))/(1+1)=(2 xx 2 i)/(2)=2 i.
.therefore. Modulus of .2 i=|2 i|=sqrt(0^(2)+2^(2))=sqrt(4)=2..,.
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V PUBLICATION-COMPLEX NUMBERS AND QUADRATIC EQUATIONS-QUESTION BANK
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  3. Find the modulus of (1+i)/(1-i) - (1-i)/(1+i)

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  9. Show that a real value of 'x' will satisfy the equation (1- ix )/(1+i...

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  15. If (5+6 i)/(3+4 i)=x+i y, then find the value of x-y.

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  16. If a+ib=(x+i)^2/(2x^2+1), prove that a^2+b^2=(x^2+1)^2/(2x^2+1)^2

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