Jitender Gupta and Divya Malik Solutions for Exercise 5: ARCHIVES (Last 8 Years)

In the given figure, $\angle \mathrm{DBC}=58°$. $\mathrm{BD}$ is a diameter of the circle.

Calculate $\angle \mathrm{BAC}$

In the given figure, diameter $\mathrm{AB}$ and chord $\mathrm{CD}$ of a circle meet at $\mathrm{P}$. $\mathrm{PT}$ is a tangent to the circle at $\mathrm{T}$ and $\mathrm{CD}=7.8 \mathrm{cm}, \mathrm{PD}=5 \mathrm{cm}, \mathrm{PB}=4 \mathrm{cm}$.

Find $\mathrm{AB}$.

In the given figure, diameter $\mathrm{AB}$ and chord $\mathrm{CD}$ of a circle meet at $\mathrm{P}$. $\mathrm{PT}$ is a tangent to the circle at $\mathrm{T}$ and $\mathrm{CD}=7.8 \mathrm{cm}, \mathrm{PD}=5 \mathrm{cm}, \mathrm{PB}=4 \mathrm{cm}$.

Find the length of tangent $\mathrm{PT}$.

In the given figure, $\mathrm{AB}$ is the diameter of a circle with centre $\mathrm{O}$ and $\angle \mathrm{BCD}=130°$. Find $\angle D\mathrm{AB}$.

In the given figure, $\mathrm{AB}$ is the diameter of a circle with centre $\mathrm{O}$ and $\angle \mathrm{BCD}=130°$. If $\angle \mathrm{DBA}=k°$ then find $k$.

In the given figure, $\mathrm{O}$ is the centre of the circle. Tangents $\mathrm{A} \mathrm{and} \mathrm{B}$ meet at $\mathrm{C}$. If $\angle \mathrm{ACO}=30°$, then find $\angle \mathrm{BCO}$.

In the given figure, $\mathrm{O}$ is the centre of the circle. Tangents $\mathrm{A} \mathrm{and} \mathrm{B}$ meet at $\mathrm{C}$. If $\angle \mathrm{ACO}=30°$ and $\angle \mathrm{AOB}=k°$, then find the value of $k$.

In the given figure, $\mathrm{O}$ is the centre of the circle. Tangents $\mathrm{A} \mathrm{and} \mathrm{B}$ meet at $\mathrm{C}$. If $\angle \mathrm{ACO}=30°$, then find $\angle \mathrm{APB}$.