**Section Formula CBSE NCERT Solutions Chapter 7 Exercise 7.2 Question 6**

**6.** If **(1, 2), (4, y), (x, 6) and (3, 5)** are the vertices of a parallelogram taken in order,

**find x and y**.

**Solution:**

Let **A = (1,2), B = (4, y), C= (x, 6) and D= (3, 5)**

We know that diagonals of parallelogram bisect each other. It means that coordinates of midpoint of diagonal **AC** would be same as coordinates of midpoint of diagonal **BD**. **(1)**

Using **Section formula**, the coordinates of midpoint of **AC** are:

Using **Section formula**, the coordinates of midpoint of **BD** are:

(

According to condition **(1), **we have

According to condition **(1), **we also have

**Therefore, and **