Android Studio - V2 Maps - check if polyline intersects other polyline - android

i am getting a fully loaded map in my android app, and i am getting some directions waypoint using the directions API. What i would like to accomplish now is check if the desired route form A to B intersects with another polyline.
Can someone shed some light into this?
Thank you very much, cheers!

Loop for each straight line in first polyline
Loop for each straight line in second polyline
Test if both straight lines intersect. They both intersects if there exists one point that both line share.
Line equation if endpoints are known:

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I am following this link:
Please find the screenshots for more clarification.

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Now, I would like to know if there is an intersection in this polyline and if it is the case, I would like to obtain the coordinate of this point.
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I have try the latest proposition without success.
Thank you in advance for you help :)

Android GoogleMap draw line through a known way

I am using Google Map Api V2 and I can marker or draw a line between two points.But I try to draw a line through the route of a bus.So Route,Ways,Stopping places...etc of the bus are already known.First of all, I tried to find all LatLong values of the route and I draw it as polylines but I guess it is wasting time.So I want to draw line without find out all LatLong points of route of the bus.Is there any way ?
Thanks for the help..
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How To Calculate Distance Between Two Points in Driving Direction Mode in Android

everyone...
I have something to ask about using a MapView in Android with Google Maps API..
I've read about how to make a Geopoint or more and find a distance between 2 points..
One thing that still makes me confuse is about calculating a distance between 2 points. I've tried and find the result but it's applied if the condition is when I want to make a straight line between those points. But, when I crosscheck with maps.google.com, the result (distance) is different with the same latitude and longitude of those points. And I realize that its a kind of a Driving Direction..
example of Google Map Web
If you see the picture, it's not a straight line so of course the distance is different. So how could I calculate this distance in Android in this case? And please show me the code to make it...
Yes it will return you the straight line distance between two point..
you can use Google direction API for this ...Here is the link for this.
http://code.google.com/apis/maps/documentation/directions/

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