Question

If the circle $x^{2}+y^{2}-6x-12y-55=0$ intercepts the x-axis at two points $A$ and $B$, then $|AB|$ is equal to

• A. 6
• B. 8
• C. 10
• D. 12
• E. 16

Hint:

Logic Tip: The algebraic method (setting $y=0$) is often less prone to sign errors than extracting $g, f, c$ and using the formula, especially when the coefficient of $x^2$ and $y^2$ might not be 1.

Answer 1

Answer: (E)