M is the foot of the perpendicular from point A to the X-axis. M lies on the negative direction of the X-axis and AM = 8 units. The coordinates of A could be:
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Answers
Given: M is the foot of the perpendicular from point A to the X-axis. M lies on the negative direction of the X-axis and AM = 8 units.
To find: The coordinates of A.
Solution:
According to the question, AM is a straight line constructed on the x-axis. Since M lies in the negative direction of the x-axis, the coordinates of A will also have a negative value of x. As the length of AM is 8 units, this means that the y-coordinate is 8. Hence, the coordinates of a can be written as follows.
Therefore, the coordinates of A could be (-x,8)
M is the foot of the perpendicular from point A to the X-axis. M lies on the negative direction of the X-axis and AM = 8 units. The coordinates of A could be (-x , ±8)
Assume that coordinate of point A is (-x , y) where x > 0 as perpendicular from point A lies on the negative direction of the X-axis.
Foot of the perpendicular from point A (-x, y) to the X-axis will be M ( -x , 0)
Distance between A and M is
Distance between A and M is given as 8 units
Equate Distance
| y | = 8
y = ±8
The coordinates of A could be (-x , ±8) where x >0
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