MATHEMATICS · Single correct · A Level · Mathematics · Coordinate geometry in the (x y) plane · Coordinate geometry in the (x y) plane
Problem
For the curves x2+y2=25 and xy=12, which one of the following statements is correct regarding their tangents at the points of intersection in the first quadrant?
(a) Exactly two common tangents exist.
(b) No common tangent exists.
(c) Infinitely many common tangents exist.
(d) Exactly one common tangent exists.