If the midpoint of of the segment joining A (a, b +1), and B (a +1, b +2) is C (3/2, 5/2) Find a and b
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_A______________C_____________B
( a, b + 1 ) ( 3/2, 5/2) ( a + 1, b+2)
mid point of AB line segment is A + B = C
so using mid point
a + a + 1 = 3 , b + 1 + b + 2 = 5
2 2 2 2
2a + 1 = 3 , 2b + 3 = 5
2 2 2 2
2a + 1 = 3 , 2b + 3 = 5
2a = 3-1 , 2b = 5-3
2a = 2 , 2b = 2
a = 1 , b = 1
I hope this helps you
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