4MA0 Higher June 2013 Paper 4R Q4

EdexcelHigherOld spec4 marksLinear Graphs & Gradients

4 The diagram shows three points, \(A\), \(B\) and \(P\), on a centimetre grid.

Centimetre grid with x from −2 to 9 and y from −2 to 8 showing crosses at A (4, 5), B (2, −1) and P (7, 6)

The point \(A\) has coordinates (4, 5) and the point \(B\) has coordinates (2, −1).

(a) Find the coordinates of the midpoint of \(AB\). (2)

\(AB\) is a diameter of a circle.
\(P\) is the point (7, 6)
\(C\) is the point on the circle such that \(PA = PC\).

(b) On the diagram, mark with a cross (×) the point \(C\).
Label your point \(C\). (2)
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