Question

In the given figure, two chords $AB$ and $CD$ intersect at $X$. If $CX=4$ cm, $DX=6$ cm, $AX=2$ cm, Find $BX$.

• A. 10 cm
• B. 12 cm
• C. 14 cm
• D. 16 cm

Answer 1

The correct option is B 12 cm

If two chords intersect internally or externally than the product of the lengths of the segments are equal.
So, that $AX\times BX=CX\times DX$
$2\times BX=4\times 6$
$BX=$ $\frac{24}{2}$
$BX=12$ cm