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यदि `(3x-2y): (2x+3y)=5:6` तो `((root(3)(x)+root(3)(y))/(root(3)(x)-root(3)(y)))` का मान क्या है?
A. `1/25`
B. `5`
C. `1/5`
D. `25`

1 Answer

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Correct Answer - D
`(3x-2y)/(2x+36)=5/6`
`18x-12y=10x+15y`
`8x=27y`
`x/y=27/8`
`=[(root(3)(x)+root(3)(y))/(root(3)(x)-root(3)(y))]^(2)`
`=((root(3)(27)+root(3)(8))/(root(3)(27)-root(3)(8)))^(2)`
`implies ((3+2)/(3-2)^(2))=(5)^(2)=25` Ans.

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