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On a coordinate plane, a point is at (1, 2) and (5, 2). Find the distance between (1, 2) and (5, 2). The points lie in the same quadrant . The distance is .

Answer :

Megameg1000

Answer:

The points lie in

✔ the same quadrant

The distance is

✔ 4 units

Step-by-step explanation:

the same quadrant

4 units

The  distance between the two points (1, 2) and (5, 2) is 4 units. And both the points (1, 2) and (5, 2) lie in the same quadrant.

What is Distance between the two points?

Distance between two points is the length of the line segment that connects two given points.

Formula for the distance between two points

[tex]d = \sqrt{(x_{2}-x_{1} ^{2}) +(y_{2}-y_{1} ) ^{2} }[/tex]

According to the given question

We have

Two points

(1, 2) and (5, 2)

Let,

[tex](x_{1},y_{1}) = (1, 2)[/tex]

And, [tex](x_{2},y_{2} ) = (5,2)[/tex]

Therefore,

The distance between the points (1,2) and (5, 2)

= [tex]\sqrt{(5-1)^{2} +(2-2)^{2} }[/tex]

[tex]=\sqrt{(4)^{2}+0 }[/tex]

[tex]=4[/tex] unit.

Hence, the  distance between the two points (1, 2) and (5, 2) is 4 units.

Since, the x coordinate and y coordinate of both the points (1,2) and (5, 2) are positive. Therefore, they both lie in the first quadrant. Hence, the points lie in the same quadrant.

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