CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 23 (For CBSE, ICSE, IAS, NET, NRA 2023)
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Question 17:
Find the coordinates of the points which divides the line segment joining and into four equal parts.
Answer:
and
Let and are the points which divide line segment AB into equal parts.
Let coordinates of point and
We know .
It means, point P divides line segment AB in .
Using Section formula to find coordinates of point P, we get
Since .
It means, point Q is the mid-point of AB.
Using Section formula to find coordinates of point Q, we get
Because .
It means, point R divides line segment AB in
Using Section formula to find coordinates of point P, we get
Therefore,
Question 18:
The two opposite vertices of a square are Find the coordinates of the other two vertices.
Answer:
Let ABCD be a square and be the unknown vertex.
AB = BC
In
Putting the value of in eq. (ii) ,