CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 12
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Question 7:
Show that the points and are collinear.
Answer:
For collinear
Question 8:
The length of a line segment is 10. If one end point is and the abscissa of the second end point is , show that its ordinate is either or .

The Length of a Line Segment
Answer:
Let be the first end point and be the second end point.
Question 9:
Using section formula, show that the points are collinear
Answer:
If points are collinear, then one point divides the join of other two in the same ratio. Let divides the join of in the ratio

Then One Point Divides the Join of Two in Same Ratio
Hence Proved
Question 10:
Find the relation between and y such that the point is equidistant from the points and .
Answer:
Let be equidistant from the points
Question 11:
Determine the ratio in which the line divides the line segment joining the points
Answer:
Let the ratio be
Coordinate of P are
P lies on the line