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Question
P , Q and R are collinear points such that PQ = QR . IF the coordinates of P , Q and R are (-5 , x) , (y , 7) , (1 , -3) respectively, find the values of x and y.
Solution
Given PQ = PR , i.e. PQ : QR = 1 : 1
Coordinates of Q are ,
Q (y , 7) = Q `((1 - 5)/2 , (-3 + "x")/2)`
y = -2 , 7 = `(- 3 + "x")/2`
y = -2 , 14 = - 3 + x
17 = x
The value of x and y are 17 and -2 respectively.
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