CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 7 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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:

Town B is Located at 36 Km East and 15 Km North of Town A

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.