InterviewSolution
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InterviewSolution
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निम्नलिखित संख्याओं का मापांक ज्ञात कीजिए । (i) `(3+sqrt(-1))/(2-sqrt(-1))` (ii) `1+i` (iii) `2+sqrt(-13)` (iv) `((3+4i)(4+5i))/((4+3i)(6+7i))` (v) `1+sqrt(-5)` (vi) `(5+2i)(-3-7i)` (vii) `(2+sqrt(-3))^(2)` |
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Answer» Correct Answer - (i) `sqrt(2)` (ii) `sqrt(2)` (iii) `sqrt(7)` (iv) `sqrt((41)/(85))` (v) `sqrt(6)` (vi) `29sqrt(2)` (vii) `7` (i) `(3+sqrt(-1))/(2-sqrt(-1))=(3+sqrt(i^(2)))/(2-sqrt(i^(2)))=(3+i)/(2-i)=(3+i)/(2-i)xx(2+i)/(2+i)=(6+5i-1)/(4-i^(2))=(5+5i)/(5)=1+i` `rArr(1+i)` का मापांक `=sqrt(1^(2)+1^(2))=sqrt(2)` |
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