Number of integral ordered pairs `(x,y)` satisfying the equation `arctan((1)/(x))+arctan((1)/(y))=arctan((1)/(10))` is

Find the number of integral ordered pairs (x,y) satisfying the equation log(3x+2y)=logx+logy.

The number of integral pairs (x, y) satisfying the equation 2x^(2)-3xy-2y^(2)=7 is :

Number of ordered pair (x, y) satisfying x^(2)+1=y and y^(2)+1=x is

The number of ordered pairs of positive integral (x,y) , that satisfy the equation (1)/(x)+(1)/(y)=(1)/(2004)

Number of ordered pair (s) of (x,y) satisfying the system of equations,log_(2)xy=5 and (log_((1)/(2)))(x)/(y)=1 is :

The number of positive integral pairs (x, y) satisfying the equation x^(2) - y^(2) = 3370 is :

The number of positive integral pairs (x, y) satisfying the equation x^(2) - y^(2) = 3370 is :

The number of ordered pairs of integers (x,y) satisfying the equation x ^2+6x+y^2 =4 is

Find the number of ordered pairs (x,y) satisfying the equations sin^(-1)x+sin^(-1)y=(2pi)/3 and cos^(-1)x-cos^(-1)y=-(pi)/3