Question Detail

MTH 101 Analytical Geometry - The Circle Objective Question

Question

Given a circle with centre (a, b) and radius r, what are its parametric equations?
Options
A x = a + r sin θ, y = b + r cos θ
B x = a + r cos θ, y = b + r sin θ
C x = -g + r cos θ, y = -f + r sin θ
D Both B and C are valid forms
Correct Answer
Correct Answer

Option D is the correct answer.

Detailed Explanation

The notes state the parametric equations as x = -g + r cos θ and y = -f + r sin θ. Since the centre is (a, b) = (-g, -f), this is equivalent to x = a + r cos θ, y = b + r sin θ.

Hint

The notes provide the form using the centre (-g, -f), which is equivalent to (a, b).

Question Info