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.

Answer 1

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.