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Theorem of Internal and External Division of Chords

Find the valu...

Question

Find the value of $x$ in the diagram below.

A

$12$

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B

$3$

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C

$9$

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D

$20$

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Solution

The correct option is C
$9$

We have BA $\times$ BC $=$ BE $\times$ BD

$3 \times 15 = 5 \times x$

$x = \frac{45}{5}$

$x = 9$

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