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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

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