InterviewSolution
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InterviewSolution
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`(0.9xx0.9xx0.9+0.2xx0.2+xx0.2+0.3xx0.3xx0.3-0.3xx0.9xx0.2xx0.3)/(0.9xx0.9+0.2xx0.2+0.2xx0.3xx0.3-0.9xx0.2-0.2xx0.3-0.3xx0.9)` का मान क्या है?A. `1.4`B. `0.054`C. `.8`D. `1.0` |
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Answer» Correct Answer - A According to the question `(0.9xx0.9xx0.9+0.2xx0.2xx0.2+0.3xx0.3xx0.3-3xx0.9xx0.2xx0.3)/(0.9xx0.9+0.2xx0.2+0.3xx0.3-0.9xx0.2-0.2xx0.3-0.3xx0.9)` As we know that `a^(3)+b^(3)+c^(3)-3abc=(a+b=c)(a^(2)+b^(2)+c^(2)-ab-bc-ca)` `((0.9)^(3)+(0.2)^(3)+(0.3)^(3)-3xx0.9xx0.2xx0.3)/((0.9)^(2)+(0.2)^(2)+(0.3)^(2)-0.9xx0.2xx0.3-0.3xx0.9)` `implies((0.9+0.2+0.3)[(0.9)^(2)+(0.2)^(2)+(0.3)^(2)-0.9xx0.2-0.2xx0.3-0.3xx0.9])/((0.9)^(2)+(0.2)^(2)+(0.3)^(2)-0.9xx0.2-0.2xx0.3-0.3xx0.9)` `implies 0.9+0.2+0.3=1.4` |
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