Question

The distance of the focus of the parabola \(y^2 = 16x\) from its directrix is...

• A. \(4\)
• B. \(8\)
• C. \(12\)
• D. \(16\)

Hint:

For \(y^2=4ax\) the distance from focus to directrix is \(2a\).

Answer 1

The Correct Option is B

Step 1: Plan:
Use the definition of a parabola.

Step 2: Reasoning:
The vertex is exactly halfway between the focus and the directrix, at distance $a$ from each. So the full distance is $2a$. From $y^2 = 16x$, $a=4$, so the distance is $8$.

Final Answer:
The distance is $8$ units, option (B). \[ \boxed{8} \]