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. None of these

Hint:

For $x^2+y^2+2gx+2fy+c=0$, the center is $(-g, -f)$ and $r = \sqrt{g^2+f^2-c}$.

Answer 1

The Correct Option is A