Math, asked by deepakparkar30637, 9 months ago

The length of the line segment joining 3 and -3 is __units.​

Answers

Answered by Yaminii2006
1

6

Hope it helps u.... ☺️☺️☺️

Answered by nirman95
3

To find:

The length of the line segment joining x = 3 and x = -3

Diagram:

\setlength{\unitlength}{1 cm}\begin{picture}(6,6)\put(3,3){\vector(1,0){3}}\put(3,3){\vector(-1,0){3}}\put(3,3){\vector(0,1){3}}\put(3,3){\vector(0,-1){3}}\put(5,3){\circle*{0.2}}\put(1,3){\circle*{0.2}}\put(3.15,4){\vector(-1,0){2}}\put(3.5,4){\vector(1,0){1.5}}\put(3.25,4){d}\put(4.85,2.5){(3,0)}\put(0.85,2.5){(-3,0)}\end{picture}}      

Calculation:

The required line segment joins the points (3,0) and (-3,0)  

Let the length of line segment be d        

\therefore d = \sqrt{{(x2-x1)}^{2}+{(y2-y1)}^{2}}

=>d = \sqrt{{\{3-(-3)\}}^{2}+{(0-0)}^{2}}

=>d = \sqrt{{\{3+3\}}^{2}+{(0-0)}^{2}}

=>d = \sqrt{{\{3+3\}}^{2}}

=>d = \sqrt{{\{6\}}^{2}}

=>d = 6

So, the length of line segment is 6 units.

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