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CSS Pure Mathematics QUESTION #1268
Question 1
The graph of \(r = 2\cos\theta\) in Cartesian coordinates is:
  • A parabola
  • A circle of radius 2 centred at origin
  • A circle of radius 1 centred at \((1,0)\)✔️
  • A line through the origin
Correct Answer Explanation
Multiply both sides by \(r\): \(r^2=2r\cos\theta\Rightarrow x^2+y^2=2x\Rightarrow (x-1)^2+y^2=1\). This is a circle of radius \(1\) centred at \((1,0)\).