# Find the Distance Between the Following Pairs of Points: P(1, –1, 0) and Q(2, 1, 2) - Mathematics

Find the distance between the following pairs of points:

P(1, –1, 0) and Q(2, 1, 2)

#### Solution

PQ =$\sqrt{\left( x_2 - x_1 \right)^2 + \left( y_2 - y_1 \right)^2 + \left( z_2 - z_1 \right)^2}$

=$\sqrt{\left( 2 - 1 \right)^2 + \left( 1 + 1 \right)^2 + \left( 2 - 0 \right)^2}$

= $\sqrt{1^2 + 2^2 + 2^2}$

=$\sqrt{1 + 4 + 4}$

=$\sqrt{9}$

= 3

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#### APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 28 Introduction to three dimensional coordinate geometry
Exercise 28.2 | Q 1.1 | Page 9