In the xy-coordinate plane, Is point R equidistant from points (-3,-3) and (1,-3)
1. The x coordinate of point R is -1
2. Point R lies on line y = -3.
Expert, please provide your reasoning.
The Answer should be A
1. The x coordinate of point R is -1. Which means that, the point R is (-1, y). Whatever may be the value of 'y', the two points (-3,-3) and (1,-3) will be equidistant to the point (-1,y).
The line x = -1, bisects the line joining, (-3,-3) and (1,-3), hence any point(-1,y) on this line should be of equidistant from the two points
2. If Point R lies on line y = -3, i.e (x,-3) it means, point R could be anywhere on the line(within the points, outside the points etc) and either way no further evidence is known to identify the value of x in (x,-3).
To be more clear,
if x=-1,Equidistant, --> Yes
if x=0, Not Equidistant, -->No
Hence Not Sufficient.
Hope this helps