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यदि `(x^(3)-y^(3)):(x^(2)+xy+y^(2))=5:1` और `(x^(2)-y^(2)):(x-y)=7:1`, तो अनुपात `2x : 3y` किसके बराबर है ?A. `3:2`B. `2:3`C. `4:3`D. `4:1` |
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Answer» Correct Answer - D (प्रश्ननुसार) `(x^(3)-y^(3))/(x^(2)+xy+y^(2))=(5)/(1)` `((x-y)(x^(2)+xy+y^(2)))/(x^(2)+xy+y^(2))=(5)/(1)` x-y=5 `(x^(2)-y^(2))/(x-y)=(7)/(1)` x+y=7 Solve equations (i) and (ii) x=6 y=1 `therefore (2x)/(3y)=(2xx6)/(3xx1)=(12)/(3)=(4)/(1)` |
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