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`tan^(-1)((1)/(x))+tan^(-1)((1)/(y))=(1)/(7)` <br> `rArr tan^(-1)(((1)/(x)+(1)/(y))/(1-(1)/(xy)))=tan^(-1)((1)/(7))` <br> `rArr (x+y)/(xy-1)=(1)/(7)` <br> `rArr 7x+7y=xy-1` <br> `rArr (7-y)x=-7y-1` <br> `rArr x=(7y+1)/(y-7)=7+(50)/(y-7)` <br> Here, y = 8, 9, 12, 17, 32, 57 satisfy above equation. **Recall Trigonometric Functions**

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