Question: If two chords intersect inside a circle, and the lengths of the segments of one chord are 4 cm and 6 cm, what is the length of the other chord if its segments are x cm and y cm?

Options:

1. 10
2. 12
3. 14
4. 16

Correct Answer: 14

Solution:

Using the intersecting chords theorem: 4 * 6 = x * y. If x + y = 10, then x = 4 and y = 6.