# CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 4

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**Question 19:**

Find the distance between the following pairs of points:

(i)

(ii)

(iii)

**Answer:**

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

units

(ii) Applying Distance Formula to find distance between points , we get

(iii) Applying Distance Formula to find distance between points we get

**Question 20:**

Determine the ratio in which the line divides the line segment joining the points and .

**Answer:**

Let the line divides the line segment joining and in the ratio at point C. Then, the coordinates of C are

But C lies on , therefore

Hence, the required ratio if internally.

**Question 21:**

Find a relation between and if the points are collinear.

**Answer:**

The points will be collinear if

Area of triangle

## 2 Mark Questions

**Question 1:**

Find the distance between the point .

**Answer:**

**Question 2:**

Determine if the points collinear.

**Answer:**

Let

Hence, A, B and C are not collinear.