M L Aggarwal Solutions for Exercise 2: Exercise 15.2

If $O$ is the centre of the circle, find the value of $x$ in the following figures (using the given information):

If $O$ is the centre of the circle, find the value of $x$ in the following figures (using the given information):

If $O$ is the centre of the circle, find the value of $x$ in the following figures (using the given information):

In the figure given below, $O$ is the centre of the circle. If $\angle BAD=75°$ and $BC=CD$, find: $\angle BCD$.

In the figure given below, $O$ is the centre of the circle. If $\angle BAD=75°$ and $BC=CD$, find: $\angle BOC$.

In the figure given below, $O$ is the centre of the circle. If $\angle BAD=75°$ and $BC=CD$, find: $\angle OBD$.

In the figure given below, $ED$ and $BC$ are two parallel chords of the circle and $ABE,ACD$ are two straight lines. Prove that $AED$ is an isosceles triangle.

In the adjoining figure, chords $AB$ and $CD$ of the circle are produced to meet at $O$. Prove that triangles $ODB$ and $OAC$ are similar. Given that $CD=2 \mathrm{cm}$, $DO=6 \mathrm{cm}$ and $BO=3 \mathrm{cm}$, calculate $AB$. Also find $\frac{\mathrm{area} \mathrm{of} \mathrm{equal}. CABD}{\mathrm{area} \mathrm{of} ∆OAC}$.