If the perpendicular distance of a point M from x-axis is 8 units and the foot of perpendicular lies on the y-axis, at a distance of 5 units from origin. Then, find all the possible coordinates of point M.
Answers
Given : If the perpendicular distance of a point M from x-axis is 8 units and the foot of perpendicular lies on the y-axis, at a distance of 5 units from origin.
To find : all the possible coordinates of point M
Solution:
perpendicular distance of a point M from x-axis is 8 units
Hence Point M Lies on the line
y = ± 8
foot of perpendicular lies on the y-axis, at a distance of 5 units from origin.
Hence lies at y = ± 5
Looks like there is some mistake in Data
If the foot of perpendicular lies on the x -axis, at a distance of 5 units from origin.
x = ±5
Hence possible point ( 5 , 8) , ( 5 , - 8) , ( - 5 , 8) and ( - 5 , - 8)
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