The number of pairs of positive integers (x,y) where x and y are prime numbers and `x^(2)-2y^(2)=1`, is

The number of solutions (x, y) where x and y are integers, satisfying 2x^(2) + 3y^(2) + 2x + 3y=10 is:

The number of solutions (x,y) where x and y are integers,satisfying 2x^(2)+3y^(2)+2x+3y=10 is

The number of point (a,b) where a and b are positive integers, lying on the hyperbola x ^(2) - y^(2) = 512 is

The number of solutions of the equation 2x + y = 40 where both x and y are positive integers and x le y .

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 :

If a and b are positive integers such that a=x^3y^2 and b=xy^3 ,where x,y are prime number then HCF (a,b) is