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Find the number of positive integral sol...

Find the number of positive integral solution of the equation `tan^(-1)x+cos^(-1)(y)/(sqrt(1+y^(2)))=sin^(-1)((3)/(sqrt(10)))`.

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Verified by Experts

The correct Answer is:
2

`tan^(-1)x+tan^(-1)((1)/(y))=tan^(-1)3impliesy=(1+3x)/(3-x)`
put `x=1,y=2` and `x=2,y=7`
only two possible integral solution.
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