1.

निम्न सम्मिश्र संख्याओं को `a+ib` के रूप में निरूपित कीजिए । (i) `(1)/(3-4i)` (ii) `((1+i)^(2))/(3-i)` (iii) `((1)/(1-2i)+(3)/(1+i))((3+4i)/(2-4i))` (iv) `(1-2i)^(-3)` (v) `((2+3i)^(2))/(2-i)` (vi) `((1-i)/(1+i))^(2)`

Answer» Correct Answer - (i) `(3)/(25)+(4)/(25)i` (ii) `(-1)/(5)+(3)/(5)i` (iii) `(1)/(4)+(1)/(9)i` (iv) `(-11)/(125)-(2)/(125)i` (v) `(-22)/(5)+(19)/(5)i` (vi) `-1`
(vi) `((1-i)/(1+i))^(2)=((1-i)^(2))/((1+i)^(2))=(1+i^(2)-2i)/(1+i^(2)+2i)=(1-1-2i)/(1-1+2i)=-1=-1+0i`


Discussion

No Comment Found

Related InterviewSolutions