Q) The number ofpositive integer pairs `(x, y)` such that `1/x+1/y=1/2007 , x < y` is

If y=0 then the number of values of the pair (x, y) such that x+y+x/y=1/2 and (x+y)x/y= -1/2 is:

If x and y are real then the number of ordered pairs (x,y) such that x+y+(x)/(y)=(1)/(2) and (x+y)(x)/(y)=-(1)/(2) is

If y!=0 then the number of values of the pair "(x,y)" such that x+y+(x)/(v)=(1)/(2) and " (x+y)(x)/(y)=-(1)/(2) is

Let p and q be distinct primes.Then the number of positive integer solutions of the equation (1)/(x)+(1)/(y)=(1)/(pq) is

The number of natural number pairs (x, y) in which x gt y and 5/x+6/y =1 is :

" The number of pairs "(x,y)" such that "cos x sin y=1,0<=x,y<=2 pi" is "

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n,ngt1 ,x,y,n in N S(10) equals