OCR C4 2009 January — Question 6

Exam BoardOCR
ModuleC4 (Core Mathematics 4)
Year2009
SessionJanuary
TopicParametric equations

6 A curve has parametric equations $$x = t ^ { 2 } - 6 t + 4 , \quad y = t - 3 .$$ Find
  1. the coordinates of the point where the curve meets the \(x\)-axis,
  2. the equation of the curve in cartesian form, giving your answer in a simple form without brackets,
  3. the equation of the tangent to the curve at the point where \(t = 2\), giving your answer in the form \(a x + b y + c = 0\), where \(a , b\) and \(c\) are integers.