Question

In the figure, $MNS$ is tangent to the circle with centre $O$ at $N$.

$AB$ is chord parallel to $MNS$. If $AB=4$cm, then $AC=$

• A. $4cm$
• B. $2cm$
• C. $1cm$
• D. $3cm$

Answer 1

Answer: (B)

$2cm$

In given figure

$ON\perp MNS$ and $AB\parallel MNS$

$\therefore ON\perp AB$ at C.

$AC=\frac{1}{2}AB=\frac{1}{2}\times 4$ ......[Perpendicular from centre to chord bisects it]

$\therefore AC=2cm$