Question

Q5) The distance between points A
(4,-1) and B (7,3) is​

Answer 1

Answer:

The distance between two points (2, 3)

& (4, 1) is given by

distance

d=  

(x  

2

​  

−x  

1

​  

)  

2

+(y  

2

​  

−y  

1

​  

)  

2

 

​  

 

here (x  

1

​  

,y  

1

​  

)=(2,3) & (x  

2

​  

,y  

2

​  

)=(4,1)

d=  

(4−2)  

2

+(1−3)  

2

 

​  

=  

2  

2

+2  

2

 

​  

 

d=  

4+4

​  

 

d=  

8

​  

 

d=2  

2

​  

 distance

Step-by-step explanation:

Answer 2

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Question :

Q5) the distance between two points A(4,-1) and B(7,3)

To find:

• distance between two points =?

Given:

$\green{\bold{Given}} \begin{cases} \sf { A=(x_1,y_1)=(4,-1)} \\ \sf{ B=(x_2,y_2)=(7,3)} \end{cases}$

Formula:

$\boxed{\underline{\bf{Distance \: formula : \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}}$

$\\ \implies \displaystyle \sf \: \sqrt{ {(x2 - x1) + (y2 - y1)}^{2} }$

$\\ \implies \displaystyle \sf \: \sqrt{ {(7 - 4)}^{2} + {(3 - ( - 1)}^{2} }$

$\\ \implies \displaystyle \sf \: \sqrt{ {(3)}^{2} + {(4)}^{2} }$

$\\ \implies \displaystyle \sf \: \sqrt{9 + 16} = \sqrt{25} = 5$

$\\ \implies \displaystyle \boxed{\sf { \: 5}}$

$\\ \therefore \boxed{ \underline{ \bf{distance \: between \: two \: points \: is \: 5 \: units}}}$