The maximum number of common tangents that can be drawn to two circles intersecting at two points is

In the given figure, there are two non-intersecting circles.

How many common tangents can be drawn to these two circles?

In the given figure, there are two non-intersecting circles.

The lengths of $\mathrm{AB}$ and $\mathrm{CD}$ are such that 

Refer to the below figure:

The value of $x$ is 

Refer to the below figure:

What is the radius of the circle?

Refer to the below figure:

The distance of the point $\mathrm{R}$ from the centre of the circle is 

Humayun's Tomb: Humayun's Tomb is an early example of Mughal architecture built in Delhi. To clean the Minaret top which is at a height of $47 \mathrm{m}$ from the ground, two ladders were made and placed at an angle of $60°$ and $30°$ to the horizontal as shown in the figure.

Based on the above information, answer the following question by choosing the correct option from the given four options in the question:

To find the length of ladder $\mathrm{AB}$, a student is applying trigonometric ratio $\frac{\mathrm{AC}}{\mathrm{AB}}$. The trigonometric ratio representing $\frac{\mathrm{AC}}{\mathrm{AB}}$ is

Humayun's Tomb: Humayun's Tomb is an early example of Mughal architecture built in Delhi. To clean the Minaret top which is at a height of $47 \mathrm{m}$ from the ground, two ladders were made and placed at an angle of $60°$ and $30°$ to the horizontal as shown in the figure.

Based on the above information, answer the following question by choosing the correct option from the given four options in the question:

The length of the ladder $\mathrm{AB}$ (in $\mathrm{m}$) is 

Humayun's Tomb: Humayun's Tomb is an early example of Mughal architecture built in Delhi. To clean the Minaret top which is at a height of $47 \mathrm{m}$ from the ground, two ladders were made and placed at an angle of $60°$ and $30°$ to the horizontal as shown in the figure.

Based on the above information, answer the following question by choosing the correct option from the given four options in the question:

The length of the ladder $\mathrm{AD}$ is