[RESOLVED] Lines and Arcs

[sgrya1]

Hi all,

Can someone help me here?

In a sentence, I need a bit of code (or an explanation) that will tell me whether or not a line (which passes through 0,0) crosses an arc.

It’s got me beat.

[opus]

Your line has to be defined by y=mx (no +b , sonce it passes thru 0,0), but how does your arc look like?

[sgrya1]

Say for example
(x-10)²+(y-10)²=10
for x & y values >= 10

[Glaysher]

Don't know about coding but mathematically

y = mx
(x - 10)² + (y - 10)² = 10 for x & y values >= 10

(x - 10)² + (mx - 10)² = 10
x² - 20x + 100 + m²x² - 20mx + 100 = 10
(m² + 1)x² -20(m + 1)x + 190 = 0

Solve this quadratic for x, only accepting solutions > 10
Substitute x value/s into y = mx only accepting solutions > 10

[sgrya1]

That brings back a bit of memory. Thanks Glaysher.