J P Mohindru and Bharat Mohindru Solutions for Chapter: Circles, Exercise 3: FOR ASSESSMENT

From a point $P$ which is at a distance of $13 \mathrm{cm}$ from the centre $O$ of a circle of radius $5 \mathrm{cm}$, the pair of tangents $PQ$ and $PR$ to the circle is drawn. Then the area of the quadrilateral $PQOR$ is

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

In fig., if $PQR$ is the tangent to a circle at $Q$ whose centre is $O$, $AB$ is chord parallel to $PR$and $\angle BQR=70°$, then $\angle AQB$ is equal to 

In the figure, two concentric circle of radii $a$ and $b$$\left(a>b\right)$ are given. The chord $AB$ of larger circle touches the smaller circle at $C$. The length of $AB$ is

At the end of $A$ of diameter $AB$ of a circle of radius $5 \mathrm{cm}$, tangent $XAY$is drawn to the circle. The length of the chord $CD$parallel to $XY$and at a distance $8 \mathrm{cm}$ from $A$ is

In the fig., if $PA=15 \mathrm{cm}$, then perimeter of $△PQR$ is

If two tangents inclined at an angle $60°$ are drawn to a circle of radius $3 \mathrm{cm}$, then length of each tangent is equal to

In the figure, if $PT$ is a tangent of the circle with centre $O$ and $\angle TPO=25°$, then the measure of $x$ is