Question

i) (2, 3), (4, 1)
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Answer 1

SOLUTION

TO DETERMINE

The distance between the points (2, 3), (4, 1)

CONCEPT TO BE IMPLEMENTED

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

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

EVALUATION

Here the given points are (2, 3), (4, 1)

So the required distance between the given two points

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

$\sf{ = \sqrt{ {(2 -4 )}^{2} + {(3 -1 )}^{2} } } \: \: unit$

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

$\sf{ = \sqrt{ 4 + 4}} \: \: unit$

$\sf{ = \sqrt{ 8}} \: \: unit$

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

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Answer 2

Step-by-step explanation:

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