P , Q And R Are Collinear Points Such That Pq = Qr . - Mathematics

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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.

Sum

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SolutionShow 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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Frank Mathematics - Part 2 [English] Class 10 ICSEChapter 12 Distance and Section FormulaeExercise 12.3 | Q 24

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