Question

The parametric equations of the circle $x^2 + y^2 - 4x - 6y - 12 = 0$ are:

• A. $x = 2 + 5 \cos \theta, y = 3 + 5 \sin \theta$
• B. $x = -2 + 5 \cos \theta, y = -3 + 5 \sin \theta$
• C. $x = 2 + 25 \cos \theta, y = 3 + 25 \sin \theta$
• D. $x = 5 + 2 \cos \theta, y = 5 + 3 \sin \theta$

Hint:

Center is $(-g, -f)$ and Radius is $\sqrt{g^2+f^2-c}$. For this circle, $g=-2, f=-3, c=-12$.

Answer 1

The Correct Option is A