InterviewSolution
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InterviewSolution
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यदि `x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))` और `y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` है तो `x^(3)+y^(3)` का मान ज्ञात करें।A. 950B. 930C. 650D. 970 |
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Answer» Correct Answer - D `x=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))` `y=(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` `:. x=1/y` `y=1/ximplies xy=1` `:. x+y=(sqrt(3)-sqrt(2))/(sqrt(3)+sqrt(2))+(sqrt(3)+sqrt(2))/(sqrt(3)-sqrt(2))` `implies ((sqrt(3)-sqrt(2))^(2)+(sqrt(3)+sqrt(2))^(2))/1` `implies (3+2-2sqrt(6)+3+2+2sqrt(6))/1=10` `implies (x+y)^(3)+x^(3)+y^(3)+3xy(x+y)` `implies (10)^(3)=x^(3)+y^(3)+3xx1(10)` `implies x^(3)+y^(3)=1000-30=970` |
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