M L Aggarwal Solutions for Exercise 4: Multiple Choice Questions

In the adjoining figure, $O$ is the centre of a circle. If the length of chord $PQ$ is equal to the radius of the circle, then $\angle PRQ$ is

In the adjoining figure, sides $BC,CA$ and $AB$ of $∆ABC$ touch a circle at the points $PQ$ and $R$ respectively. If$PC=5 \mathrm{cm},AR=4 \mathrm{cm}$  and $RB=6 \mathrm{cm}$, then the perimeter of $∆ABC$ is

$PQ$ is a tangent to a circle at point $P$. Centre of circle is $O$. If $∆OPQ$ is an isosceles triangle, then $\angle QOP$ is equal to

In the adjoining figure, $PA$ and $PB$ are tangents at points $A$ and $B$ respectively to a circle with centre $O$. If $C$ is a point on the circle and $\angle APB=40°$, then $\angle ACB$ is equal to

In the adjoining figure, two circles touch each other at $A. BC$ and $AP$ are common tangents to these circles. If $BP=3.8 \mathrm{cm}$, then the length of $BC$ is equal to

In the adjoining figure, if sides $PQ,QR,RS$ and $SP$ of a quadrilateral $PQRS$ touch a circle at points $A,B,C$ and $D$ respectively, then $PD+BQ$ is equal to

In the adjoining figure, $PQR$ is a tangent at $Q$ to a circle. If $AB$ is a chord parallel to $PR$ and $\angle BQR=70°$, then $\angle AQB$ is equal to

Two chords $AB$ and $CD$ of a circle intersect externally at a point $P$. If $PC=15 \mathrm{cm},CD=7 \mathrm{cm}$ and $AP=12 \mathrm{cm}$, then $AB$ is