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.

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

Number of ordered pairs (a,x) satisfying the equation sec^(2)(a+2)x+a^(2)-1=0;-pi

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 ordered pair(s) of (x, y) satisfying the equations log_((1+x))(1-2y+y^(2))+log_((1-y))(1+2x+x^(2))=4 and log_((1+x))(1+2y)+log_((1-y))(1+2x)=2

For 0

The number of ordered pair(s) (x .y) satisfying the equationssin x*cos y=1 and x^(2)+y^(2)<=9 pi^(2) is/are