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1MA0 Higher June 2017 Paper 1 Q11

EdexcelHigherOld spec3 marksLinear Graphs & Gradients

11 \(Q\), \(R\) and \(S\) are points on a grid.

\(Q\) is the point with coordinates (106, 103)
\(R\) is the point with coordinates (106, 105)
\(S\) is the point with coordinates (104, 105.5)

\(P\) and \(A\) are two other points on the grid such that

 \(R\) is the midpoint of \(PQ\)
 \(S\) is the midpoint of \(PA\)

Work out the coordinates of the point \(A\). (3)