Question

What is the length of line segment AY?

2 units

3 units

4 units

6 units

Answer 1

check the picture below.

Answer 2

Option C. 4 Units

Explanation:

From the intersecting chords theorem we know that if two chords are intersecting each other in a circle then the products of the lengths of the line segments of each chord are equal.

Therefore AY.YC =YB.YD

Here AY = x, BY = 3, YC = 6, YD = 8

So x.6 = 3.8

6x = 24

x = 24/6 = 4 Units

Option C 4 units is the correct option.