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CSS Pure Mathematics QUESTION #4124
Question 1
The polar curve $r = 2\cos(\theta)$ represents which conic section?
  • Circle with center at origin, radius $2$
  • Circle with center at $(1, 0)$, radius $1$✔️
  • Circle with center at $(0, 1)$, radius $1$
  • Ellipse with semi-major axis $2$
Correct Answer Explanation
$r = 2\cos(\theta) \Rightarrow r^2 = 2r\cos(\theta) \Rightarrow x^2 + y^2 = 2x \Rightarrow (x-1)^2 + y^2 = 1$. Circle center $(1,0)$, radius $1$.