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id	challengeType	title
5900f4621000cf542c50ff75	5	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?

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

1.3 KiB Raw Blame History