1.3 KiB
1.3 KiB
id | challengeType | title |
---|---|---|
5900f4621000cf542c50ff75 | 5 | Problem 246: Tangents to an ellipse |
Description
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?
Instructions
Tests
tests:
- text: <code>euler246()</code> should return 810834388.
testString: assert.strictEqual(euler246(), 810834388, '<code>euler246()</code> should return 810834388.');
Challenge Seed
function euler246() {
// Good luck!
return true;
}
euler246();
Solution
// solution required