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Question
The midpoint of the line segment joining the points P (2 , m) and Q (n , 4) is R (3 , 5) . Find the values of m and n.
Solution
Given : PR : RQ = 1 : 1
Coordinates of R are ,
R (3 , 5) = R `((2 + "n")/2 , ("m" + 4)/2)`
B = `(2 + "n")/2 , 5 = ("m" + 4)/2`
6 = 2 + n , 10 = m + 4
n = 4 , m = 6
The values of m and n are 6 and 4 respectively.
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