Find the distance of the point (6,-8) from the origin. Also find the midpoint of the line joining these two points.

Let P6, -8 be the given point and O0,0 be the origin.We know that distance between the points x1, y1 and x2, y2 isNow, using distance formula :     OP = 0-62 + 0+82OP = 36 + 64OP = 100OP = 10 unitsNow, coordinates of mid point of the line segment joining the points x1, y1 and x2, y2 is x1+x22, y1+y22Now, coordinates of mid point of line segment joining P6, -8 and O0,0 is 6+02, -8+02 = 3, -4

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we can use the formulae root (x2-x1)2+(y2-y1)2
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ans is 10
 
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Please find this answer

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it is 8 units away from the origin
 
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