P (a, - 3) is the midpoint of the segment joining the points R (3, b) and S (7, - 2). Find the values of a and
b.
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Answer:
P is the midpoint of RS
By midpoint theorem,
a = x1 + x2/ 2
= 3 + 7 /2
a = 5
-3 = y1 + y2/2
= b + -2/ 2
-3 × 2 = b + -2
b + -2 = -6
b = -6 + 2
b = -4
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