In the given figure, $O$ is the centre of two concentric circles of radii $6 \mathrm{cm}$ and $10 \mathrm{cm}$. $AB$ is a chord of outer circle which touches the inner circle. The length of chord $AB$ is

In the given figure, $AB$ and $AC$ are tangents to a circle $O$ and radius $8 \mathrm{cm}$. If $OA=17 \mathrm{cm}$, then the length of $AC$(in $\mathrm{cm}$) is

In the given figure, $O$ is the centre of a circle, $AOC$ is its diameter such that $\angle ACB=50°$. If $AT$ is the tangent to the circle at the point $A$ then $\angle BAT=$?

In the given figure, $O$ is the centre of a circle, $PQ$ is a chord and $PT$ is the tangent at $P$. If $\angle POQ=70°$ then $\angle TPQ$ is equal to

In the given figure, $AT$ is a tangent to the circle with centre $O$ such that $OT=4 \mathrm{cm}$ and $\angle OTA=30°$. Then, $AT=$?

If $PA$ and $PB$ are two tangents to a circle with centre $O$ such that $\angle AOB=110°$ then $\angle APB$ is equal to

In the given figure, the length of $BC$ is

In the given figure, if $\angle AOB=125°$, then $\angle COD$ is equal to

In the given figure, $O$ is the centre of a circle and $PT$ is the tangent to the circle. If $PQ$ is a chord such that $\angle QPT=50°$ then $\angle POQ=$?