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Chapter 1: Q. 34 (page 14)

Find the distance $d (P_{1}, P_{2})$ between the points $P_{1}$ and $P_{2} .$

Short Answer

Expert verified

The distance between the given points is $\sqrt{5} .$

Step by step solution

01

Step 1.Given information

The given points are $P_{1} (0, 0) and P_{2} (- 2, 1) .$

02

Step 2.Formula used

$d = \sqrt{{(x_{2} - x_{1})}^{2} + {(y_{2} - y_{1})}^{2}}$

03

Step 3.Find the distance

$d (P_{1}, P_{2}) = \sqrt{{(- 2 - 0)}^{2} + {(1 - 0)}^{2}} = \sqrt{{(- 2)}^{2} + {(1)}^{2}} = \sqrt{4 + 1} = \sqrt{5}$

Hence, the distance is $\sqrt{5}$ units.

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