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Problem
Let A(−3, 4) and B(7, −1) be two points. A point T on AB has coordinates (x, y) that satisfy 2x + y = 7 and divides AB internally in the ratio m : n, where m and n are positive integers in lowest terms. Find m : n. a)
1
:
2
1:2
1
:
2
b)
3
:
2
3:2
3
:
2
c)
2
:
3
2:3
2
:
3
d)
1
:
3
1:3
1
:
3
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