There are two common approaches to solve such problems.
1- Calculating the distance between (3, 9) and (5, 3) and then comparing it with the distances between (3, 9) and the points given in the options.
2- Calculating the sum of the absolute difference between the x and y coordinates of the two points.
The second approach is quicker as we don't have to use the distance formula.
(3, 9) and (5, 3) are 5-3=2 units away along x-axis and 9-3=6 units away along y-axis. In total the two points are 2+6=8 units away
Now let's check each option.
A. (3, 9) and (3, 1) are 8 units away
B. (3, 9) and (1, 5) are 6 units away
C. (3, 9) and (-1, 8) are 5 units away
D. (3, 9) and (9, 3) are 12 units away
E. (3, 9) and (0, 6) are 6 units away
Hence, the correct options are B, C, and E.
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