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यदि `5x-9y=5` और `125x^(3)+729y^(3)=120` है तो `x` तथा `y` का गुणनफल का मान क्या होगा?A. 45B. `1//9`C. `1//135`D. `135` |
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Answer» Correct Answer - C Given `5x+9y=5` …………i `125x^(3)+729y^(3)=120`……………ii From equation i cubing both sides `=(5x+9y)^(3)=5^(3)` `implies 125x^(3)+729y^(3)+3xx5x xx 9y` `(5x+9y)=125` `implies 125x^(3)+729y^(3)+125xy xx 5-126` `implies 120+135 xy xx 5=125` `implies 135xy xx 5=5` `implies xy=1/135` `implies` Therefore produce of `x` and `y=1/135` |
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