Answer: The correct option is (D) 4.
Step-by-step explanation:
According to the intersecting chords theorem, if two chords intersect in a circle then the products of the length of the chord segment are equal.
Given:
DE = 2
CE = 6
BE = 3
Now calculating the the value of EA.
As per theorem:
[tex]DE\times CE=BE\times EA[/tex]
Now putting the all the given values in this expression, we get:
[tex]2\times 6=3\times EA\\\\EA=4[/tex]
Therefore, the measure of EA is 4.
