**Distance Formula CBSE NCERT solutions Chapter 7 Exercise 7.1 Question 9**

**9.** If, **Q (0, 1)** is equidistant from **P (5, -3)** and **R (x, 6)**, find the values of **x**. Also, find the distances **QR and PR**.

**Solution: **

**It is given that Q is equidistant from P and R. Using Distance Formula, we get**

**Squaring both sides, we get**

Using **Distance Formula** to find **QR**, we get

**Using value of x = 4**

**Using value of x = -4**

Therefore,** **

Using **Distance Formula** to find **PR**, we get

**Using value of x = 4**

**Using value of x =-4**

Therefore, **x = 4, -4**