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.