Edexcel Paper 1 2021 October — Question 13

Exam BoardEdexcel
ModulePaper 1 (Paper 1)
Year2021
SessionOctober
TopicParametric equations
  1. A curve \(C\) has parametric equations
$$x = \frac { t ^ { 2 } + 5 } { t ^ { 2 } + 1 } \quad y = \frac { 4 t } { t ^ { 2 } + 1 } \quad t \in \mathbb { R }$$ Show that all points on \(C\) satisfy $$( x - 3 ) ^ { 2 } + y ^ { 2 } = 4$$
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