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If-y-x-y-2-x-and-dx-x-3y-m-n-log-x-y-2-1-then-m-2n-A-1-B-3-C-5-D-7-




Question Number 89652 by john santu last updated on 18/Apr/20
If (y(x−y))^2  = x and   ∫ (dx/((x−3y))) = ((m/n)) log [ (x−y)^2 −1]  then m+2n =   A.1     B. 3        C. 5         D.7
$$\mathrm{If}\:\left({y}\left({x}−{y}\right)\right)^{\mathrm{2}} \:=\:{x}\:{and}\: \\ $$$$\int\:\frac{{dx}}{\left({x}−\mathrm{3}{y}\right)}\:=\:\left(\frac{{m}}{{n}}\right)\:\mathrm{log}\:\left[\:\left({x}−{y}\right)^{\mathrm{2}} −\mathrm{1}\right] \\ $$$${then}\:{m}+\mathrm{2}{n}\:=\: \\ $$$${A}.\mathrm{1}\:\:\:\:\:{B}.\:\mathrm{3}\:\:\:\:\:\:\:\:{C}.\:\mathrm{5}\:\:\:\:\:\:\:\:\:{D}.\mathrm{7} \\ $$

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