CBSE Class 10-Mathematics: Chapter –7 Coordinate Geometry Part 13
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Question 12:
Show that the points and are the vertices of a square.
Answer:
Diagonal
Diagonal
Hence proved.
Question 13:
If the point is equidistant from the points and , prove that
Answer:
Question 14:
Find the point on the x–axis which is equidistant from and .
Answer:
Let the point be (x, 0) on x–axis which is equidistant from and .
Using Distance Formula and according to given conditions we have:
Therefore, point on the x–axis which is equidistant from and is
Question 15:
Find the coordinates of the points of trisection of the line segment joining and .

The Coordinates of the Points of Trisection
Answer:
We want to find coordinates of the points of trisection of the line segment joining and
We are given
We want to find coordinates of point C and D.
Let coordinates of point C be and let coordinates of point D be .
Clearly, point C divides line segment AB in and point D divides line segment AB in .
Using Section Formula to find coordinates of point C which divides join of and in the ratio , we get
Therefore, coordinates of point are and coordinates of point D are