Line Collision Detection for 2D Game

use raycast for that....will wrk fine

I don't have any idea related to ray casting in line collision detection. Any way thanks for your suggestion.

use raycast to detect collison and then draw your line upto that,.....

For each segment of line, I have to attach which type of collider?

If you don't want to go down the maths route I have some code from a previous project which creates a collider between two points of a line renderer. If you had a collider on each line you could cast a ray from each line to see if it hit any others:

 public float lineWidth = 0.5f;

 private GameObject pointB;
 private LineRenderer lRenderer;
 private BoxCollider col;
 
 void Start(){

     if(!(lRenderer = GetComponent<LineRenderer>())){
         lRenderer = gameObject.AddComponent<LineRenderer>();
     }

     // Setup line renderer
     lRenderer.SetVertexCount(2);
     lRenderer.SetWidth(lineWidth, lineWidth);

     // Create point B
     pointB = new GameObject("Point B");
     //pointB.transform.parent = transform;
     pointB.transform.position = Vector3.zero + transform.right * 10;

     col = gameObject.AddComponent<BoxCollider>();

 }

 void Update(){
     // Update line renderer positions
     lRenderer.SetPosition(0, transform.position);
     lRenderer.SetPosition(1, pointB.transform.position);

     // make point A (our position) look at point B
     Vector3 direction = pointB.transform.position - transform.position;
     transform.right = direction.normalized;

     // Resize collider to fit line renderer
     col.center = Vector3.right * direction.magnitude /2;
     col.size = new Vector3(direction.magnitude, 1,1);
 }