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यदि `x=3+2sqrt(2)` और `xy=1` है तो `(x^(2)+3xy+y^(2))/(x^(2)-3xy+y^(2))` का मान ज्ञात करें।A. `30/31`B. `70/31`C. `35/31`D. `37/31` |
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Answer» Correct Answer - D `x=3+2sqrt(2),xy=1,y^(2)=1/(x^(2))` `y=1/x=1/(3+2sqrt(2))=3-2sqrt(2)` `:. x+1/x=3+2sqrt(2)+3-2sqrt(2)=6` `:. x^(2)+1/(x^(2))=36-2=34` `= (x^(2)+3xy+y^(2))/(x^(2)-3xy+y^(2))=(x^(2)+1/(x^(2))+3)/(x^(2)+1/(x^(2))-3)` `=(34+3)/(34-3)=37/31` |
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