Let [x] denote the greatest integer ≤x. Then the
number of ordered pair (x,y), where x and y are
positive integers less than 30 such that
[(x/2)]+[((2x)/3)]+[(y/4)]+[((4y)/5)]=((7x)/6)+((21y)/(20))
is
(A) 1 (B) 2 (C) 3 (D) 4
Prove that the equation of the circle
passing through the points of
intersection of these two curves:
y=1+(c/x) ; y=x^2 (c < (2/(3(√3))) )
is (x−(c/2))^2 +(y−1)^2 =1+(c^2 /4) .