CAIE P1 2024 March — Question 7

Exam BoardCAIE
ModuleP1 (Pure Mathematics 1)
Year2024
SessionMarch
TopicSimultaneous equations
7 The straight line \(\mathrm { y } = \mathrm { x } + 5\) meets the curve \(2 \mathrm { x } ^ { 2 } + 3 \mathrm { y } ^ { 2 } = \mathrm { k }\) at a single point \(P\).
  1. Find the value of the constant \(k\).
  2. Find the coordinates of \(P\).
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