Question

Find distance between the points (6, 0) and (-6, 0).​

Answer 1

Answer:

Answer

Correct option is

A

4

5

Take points A(6,0) and B(−2,4).

To find the distance between two point A(x

1

,y

1

) and B(x

2

,y

2

), distance formula is used which is given by:

AB=

(x

1

−x

2

)

2

+(y

1

−y

2

)

2

So, AB=

(6−(−2))

2

+(0−4)

2

=

(64+16)

=

(80)

=4

5

Step-by-step explanation:

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Answer 2

$\pink{ \boxed{\boxed{\begin{array}{cc} \leadsto \bf \: Given \: \\ \bf \to two \: points \: are \: \: (6,0) \: \: and \: ( - 6,0) \\ \\ \sf \to \: we \: have \: to \: find \: distance(d) \: between \: them\end{array}}}}$

$\pink{ \boxed{\boxed{\begin{array}{cc} \underline{ \sf \downarrow \: Formula \downarrow} \\ \\ \rm \to \: if \: (x_1,y_1) \: \: and \: \: (x_2,y_2) \: are \: two \: points \: \\ \\ \rm \: then \: distance \: between \: them \: : \\ \\ \blue{ \boxed{\bf \: d = \sqrt{ {(x_1 - x_2)}^{2} + {(y_1 - y_2)}^{2} }}} \\ \\ \end{array}}}}$

According to the question,

$\bf \: x_ 1 = 6 \\ \bf \: x_2 = - 6 \\ \bf \: y_1 = 0\\ \bf \: y_ 2= 0$

So distance between them :

${ \boxed{\boxed{\begin{array}{cc} \bf \: d = \sqrt{ { \{6 - ( - 6)} \}^{2} + {(0- 0)}^{2} } \\ \\ \bf = \sqrt{ {(6 + 6)}^{2} } \\ \\ = \sqrt{ {(12)}^{2} } \\ \\ = \rm \: 12 \: \: unit \end{array}}}}$