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

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.