**Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.2 Question 9**

**9.** Find the coordinates of the points which divides the line segment joining

**A(-2, 2) and B(2, 8)** into four equal parts.

**Solution:**

**A = (-2, 2) and B = (2, 8)**

Let P, Q and R are the points which divide line segment AB into 4 equal parts.

Let coordinates of point P =(x1, y1), Q =(x2, y2) and R =(x3, y3)

**Because, AP = PQ = QR = RS. It means, point P divides line segment AB in 1:3.**

Using Section formula to find coordinates of point P, we get

**Because, AP = PQ = QR = RS. It means, point Q divides line segment AB in 2:2 = 1:1.**

Using Section formula to find coordinates of point P, we get

**Because, AP = PQ = QR = RS. It means, point R divides line segment AB in 3:1**

Using Section formula to find coordinates of point P, we get

**Therefore,** P**=(-1, ), Q= (0, )and R =(1, )**