Question
Very urgent
for how many integer values of k do the circle x^2+y^2 =k^2 and hyperbola xy=k may not intersect each other
for how many integer values of k do the circle x^2+y^2 =k^2 and hyperbola xy=k may not intersect each other
Answers
oobleck
the vertices of the hyperbola are 2√(2k) apart
the diameter of the circle is 2k
so you want 2k < 2√(2k)
k < 2
the diameter of the circle is 2k
so you want 2k < 2√(2k)
k < 2