Number of un-order pair solution of `(x, y)` ofthe equation `1/x+1/y= 1/2007` ,where `x, y in N` is

Write the solution of the equation x/y=1, x+y=1

Find thhe solution of the pair of equations 3/x+8/y=-1" and "1/x-2/y=2" where "x, y ne 0 .

Find the number of ordered pairs of (x, y) satisfying the equation y = |sinx| and y = cos^(-1)(cosx) , where x in [-π, π]

Find the number of ordered pairs of (x, y) satisfying the equation y = |sinx| and y = cos^(-1)(cosx) , where x in [-π, π]

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

Let S(n) denotes the number of ordered pairs (x,y) satisfying 1/x+1/y=1/n, " where " n gt 1 " and " x,y,n in N . " " (i) Find the value of S(6). " " (ii) Show that, if n is prime, then S(n)=3, always.

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