Question 1133952: Find the locus of a point P(x,y) which moves so that area triangle APB is 5 u^2 where A(-4,0) and B(2,0) Found 2 solutions by greenestamps, ikleyn:Answer by greenestamps(13200) (Show Source):
The base AB has length 6; the area, one-half base times height, is 5. So the height of the triangle is 5. (1/2 times 6 times 5/3 = 5)
The base is on the horizontal line y=0, so point P can be any point that is 5/3 units vertically from y=0 -- either above or below the base. So the locus of point P is the two horizontal lines y=5/3 and y=-5/3.