Question

In the figure $PAB$ is secant and $PT$ is tangent to a circle form $P$. Then $AB=....$

• A. $9cm$
• B. $3.25cm$
• C. $2.25cm$
• D. $1cm$

Answer 1

The correct option is C $2.25cm$

PA=4 cm PT=5 cm

$\therefore$ BY tangent secant theorem,

$PA.PB=(PT{)}^2$

$\therefore \left(4\right)\left(PB\right)=5^2$

$\therefore PB=\frac{25}{4}$

$\therefore PB=6.25$ cm $\therefore AB=PB-PA$

$\therefore AB=(6.25-4)$ cm

$\therefore AB=2.25$ cm.