Question

Find the value of xa. 13 b. 14/5 c. 5 d. 8

Answer 1

Given that

There is a figure of the circle and we have to find the value of x.

Explanation -

Since the two chords of the circle are given and they are intersected making four parts. And we have to find the value of x.

So by using Intersecting Chords Theorem

If AC and BD are the chords intersecting at E. Then,

AE x EC = DE x EB

So in the given figure we have,

`\begin{gathered} 4*10=x*8 \\ 40=x*8 \\ x=(40)/(8) \\ x=5 \end{gathered}`

So C is the correct option.

Final answer -

Therefore the final answer is 5.