Question

In the circle above, DE = 2, CE = 6, and BE = 3.

Answer 1

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:

$DE\times CE=BE\times EA$

Now putting the all the given values in this expression, we get:

$2\times 6=3\times EA\\\\EA=4$

Therefore, the measure of EA is 4.