Question

the distance between the points (1,0) & (0,1)

Answer 1

this is the right answer

Answer 2

The distance between the points (1,0) & (0,1) is √2 unit

Given :

The points (1,0) & (0,1)

To find :

The distance between the points (1,0) & (0,1)

Concept :

For the given two points $\sf{A( x_1 , y_1) \: \: and \: \: B( x_2 , y_2)}$ the distance between the points

$= \sf{ \sqrt{ {(x_2 -x_1 )}^{2} + {(y_2 -y_1 )}^{2} } }$

Solution :

Step 1 of 2 :

Write down the given points

The given points are (1,0) & (0,1)

Step 2 of 2 :

Find the distance

The required distance

$\sf = \sqrt{ {(1 - 0)}^{2} + {(0 - 1)}^{2} } \: \: unit$

$\sf = \sqrt{ {(1 )}^{2} + {(- 1)}^{2} } \: \: unit$

$\sf = \sqrt{1 + 1} \: \: unit$

$\sf = \sqrt{2} \: \: unit$

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