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How is a circle defined in analytical geometry?
APoints equally far from a line
BPoints equally far from a centre
CPoints on a curve of two arms
DPoints that lie on one straight line
Answer & Solution
Correct answer: B. Points equally far from a centre
1. A circle is described by a single distance condition.
2. Every point on the circumference sits the same distance from one fixed point.
3. That fixed point is the centre and the fixed distance is the radius.
4. Writing that condition with the distance formula gives the equation of the circle.
_Source: Siyavula Mathematics Grade 12 (Everything Maths, CC BY 4.0), Chapter 7: Analytical geometry_