R S Aggarwal and Veena Aggarwal Solutions for Exercise 4: MULTIPLE-CHOICE QUESTIONS (MCQ)

In the given figure, sides $AB$ and $AD$ of quadrilateral $ABCD$ are produced to $E$ and $F$ respectively. If $\angle CBE={100}^{\mathrm{o}}$ then $\angle CDF=$?

In the given figure, $O$ is the centre of a circle and $\angle AOB={140}^{\mathrm{o}}$. Then, $\angle ACB=$?

In the given figure, $O$ is the centre of a circle and $\angle AOB={130}^{\mathrm{o}}$. Then, $\angle ACB=$?

In the given figure, $ABCD$ and $ABEF$ are two cyclic quadrilaterals. If $\angle BCD={110}^{\mathrm{o}}$ then $\angle BEF=$?

In the given figure, $ABCD$ is a cyclic quadrilateral in which $DC$ is produced to $E$ and $CF$ is drawn parallel to $AB$ such that $\angle ADC={95}^{\mathrm{o}}$ and $\angle ECF={20}^{\mathrm{o}}$. Then $\angle BAD=$?

Two chords $AB$ and $CD$ of a circle intersect each other at a point $E$ outside the circle. If $AB=11 \mathrm{cm}, BE=3 \mathrm{cm}$ and $DE=3.5 \mathrm{cm}$, then
$CD=$?

In the given figure, $A$ and $B$ are the centres of two circles having radii $5 \mathrm{cm}$ and $3 \mathrm{cm}$ respectively and intersecting at points $P$ and $Q$ respectively. If $AB=4 \mathrm{cm}$ then the length of common chord $PQ$ is

In the given figure, $\angle AOB=90°$ and $\angle ABC=30°$, then $\angle CAO=$?