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# Find the distance between the following pairs of points (i)((2,3),(4,1))

## QuestionMathClass 10

Find the distance between the following pairs of points
(i)$$(2,3),(4,1)$$

$$2\sqrt2$$ unit
4.6
4.6

## Solution

Let $$A(2,3)$$and $$B(4,1)$$  be the given points.
Here $$x_{1}=2,y_{1}=3$$and $$x_{2}=4,y_{2}=1$$
$$\therefore$$ $$AB=\sqrt {(x_{2}-{x_{1}})^{2}+(y_{2}-y_{1})^{2}}$$
$$=\sqrt {(4-2)^{2}+(1-3)^{2}}$$
$$=\sqrt {(2)^{2}+(-2)^{2}}$$
$$=\sqrt {4+4}$$
$$=\sqrt {8}=2\sqrt {2}$$unit