2025 IGCSE 0580 May/June P23 Q24

2025 IGCSE 0580 May/June P23 Q24

7 marks
  1. \(A\) is the point \((a,12)\) and \(B\) is the point \((b,27)\).
    1. Find the \(y\)-coordinate of the midpoint of \(AB\).[1]
    2. The line \(AB\) has gradient \(3\).
      Find an expression for \(a\) in terms of \(b\).[3]
  2. \(D\) is the point \((22,34)\) and \(E\) is the point \((23,39)\).
    \(D\) is the point on \(CE\) such that \(2CE=5DE\).
    Find the coordinates of \(C\).[3]

Solution:

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Answer:(a)(i) \(19.5\). (ii) \(a=b-5\). (b) \((20.5,26.5)\).

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