1009 B
1009 B
id | title | challengeType | forumTopicId | dashedName |
---|---|---|---|---|
5900f4621000cf542c50ff75 | Problem 246: Tangents to an ellipse | 5 | 301893 | problem-246-tangents-to-an-ellipse |
--description--
A definition for an ellipse is:
Given a circle c with centre M and radius r and a point G such that d(G,M)
The construction of the points of the ellipse is shown below.
Given are the points M(-2000,1500) and G(8000,1500). Given is also the circle c with centre M and radius 15000. The locus of the points that are equidistant from G and c form an ellipse e. From a point P outside e the two tangents t1 and t2 to the ellipse are drawn. Let the points where t1 and t2 touch the ellipse be R and S.
For how many lattice points P is angle RPS greater than 45 degrees?
--hints--
euler246()
should return 810834388.
assert.strictEqual(euler246(), 810834388);
--seed--
--seed-contents--
function euler246() {
return true;
}
euler246();
--solutions--
// solution required