Do you have a classmate named Sonia? Because she asked the same questions in a previous thread (in the third post), and some answers were given, but only on the part you did...
Hey anyone got any ideas on how to solve this??
Right I have done the first part: Is it possible for the tangents to a parabola at two distinct zeroes (x intercepts) to meet at right angles?
But need help on:
Is it possible to find such a parabola for which the x and y intercepts and the point of intersection of the two tangents lie on the integer lattice? What can you say about cubics?
Thanks!! xx
Do you have a classmate named Sonia? Because she asked the same questions in a previous thread (in the third post), and some answers were given, but only on the part you did...
Hello, jessismith
Here's a bit of parabolic trivia . . .Is it possible for the tangents to a parabola at two distinct zeroes
to meet at right angles?
Is it possible to find such a parabola for which the x and y intercepts
and the point of intersection of the two tangents lie on the integer lattice?
What can you say about cubics?
The endpoints of a focal chord (a chord through the focus) have tangents
. . which are perpendicular and intersect on the directrix.
So if we place the focus at the origin . . .Code:| * | * | * A |F B * ---o----+----o----- \* | */ \ * / \ | / \|/ - - - - o - - - - - |C
Then the intercepts at and have tangents so that