# CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 7

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**Question 13:**

Find the distance between the points and .Also, find the distance between towns A and B if town B is located at east and north of town A.

**Answer:**

Applying Distance Formula to find distance between points and , we get

Town B is located at east and north of town A. So, the location of town A and B can be shown as:

Clearly, the coordinates of point A are and coordinates of point B are .

To find the distance between them, we use Distance formula:

**Question 14:**

Determine if the points and are collinear.

**Answer:**

Let

Using Distance Formula to find distance AB, BC and CA

Since and .

Therefore, the points A, B and C are not collinear.

**Question 15:**

Check whether and are the vertices of an isosceles triangle.

**Answer:**

Let and

Using Distance Formula to find distances AB, BC and CA

Since .

Therefore, A, B and C are vertices of an isosceles triangle.