prashanthichennupati wrote:What are the coordinates for the point on line AB that is 3 times as far from A as from B, and that is between points A and B, knowing that A = (-5,6) and B (-2,0)?
Let C = the unknown point.
The GMAT would provide answer choices.
Only one of these answer choices is likely to be viable.
Thus, there would be no need to calculate the exact coordinates of point C.
DRAW the figure, plotting C so that it is 3 times as far from A as from B.
The figure above indicates that the x-coordinate of point C must be between -2 and -3 and that the y-coordinate of point C must be between 1 and 2.
Select the appropriate answer choice.
An official problem that tests this concept and that can be solved quickly without calculating:
https://www.beatthegmat.com/coordinate-g ... 58176.html
An even trickier official problem that can be solved quickly without calculating:
https://www.beatthegmat.com/og-12-t77036.html
Similar non-official problems:
https://www.beatthegmat.com/grockit-toug ... 74452.html
https://www.beatthegmat.com/cant-form-th ... 67741.html
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