CBSE Class 10-Mathematics: Chapter – 7 Coordinate Geometry Part 23 (For CBSE, ICSE, IAS, NET, NRA 2022)

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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.

The Two Opposite Vertices of a Square

Answer:

Let ABCD be a square and be the unknown vertex.

AB = BC

In

Putting the value of in eq. (ii) ,