S.N. Chhibber Solutions for Chapter: Circles, Exercise 2: Exercise

$O$ is the centre of a circle with diameter $8 \mathrm{cm}$. $PA$ is the tangent to the circle touching at $A$ and its length is $3 \mathrm{cm}$. If the distance between $O$ and $P$ is $k \mathrm{cm}$, then find the value of $k$. 

The radius of the circle is $25 \mathrm{cm}$. Find the position of $A$, if $OA$ is $14 \mathrm{cm}$.

The radius of the circle is $25 \mathrm{cm}$. Find the position of $B$, if $OB$ is $28 \mathrm{cm}$.

The radius of the circle is $25 \mathrm{cm}$. Find the position of $C$, if $OC$ is $25 \mathrm{cm}$.

Find the following unknown angles.

Find the following unknown angle.

Find the following unknown angles.

Two tangents $PA$ and $PB$ are drawn from an external point $P$ to a circle with centre $O$. Prove that $PR=PA+AQ$