Question:
In the xy-plane, the length of the shortest path from (0, 0) to (12, 16) that does not go inside the circle (x - 6)<span class="math-inline">^2</span> + (y - 8)<span class="math-inline">^2</span> = 25 is
10<span class="math-inline">\sqrt{3}</span>
10<span class="math-inline">\sqrt{5}</span>
10<span class="math-inline">\sqrt{3}</span> + \frac{5\pi}{3}
10 + 5\pi
Step-by-Step Solution
Key Concept: General
Let the normal at P(at1^2, 2at1) meet the curve at Q(at2^2, 2at2) .
Correct Answer: 2