STATEMENT-1 : If tan^2 (sin^-1x) > 1 the...

STATEMENT-1 : If `tan^2 (sin^-1x) > 1` then `x in(-1-1/sqrt2)uu(1/sqrt(2).1).`STATEMENT-2 : The number of positive integral solution of `tan^-1 1/y+cot^-1(1/x)=cot^-1(1/3),` where `x/y < 1,` is 2. STATEMENT -3 : If `sin^-1 x=-cos^-1 sqrt(1-x^2) and sin^-1 y=cos^-1 sqrt(1-y^2),` then the exact range of `(tan^-1 x+ tan6-1 y)` is `[-pi/4,pi/4].`

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The number of positive integral solutions of tan^(-1)x + cot^(-1)y= tan^(-1)3 is :

one

two

three

four

`x=1,y=2,x=2,y=7`

`x=1,y=3,x=2,y=4`

`x=0,y=0,x=3,y=4`

None of these