Corrective and rehabilitative exercises are prescribed by medical professionals to treat deformities, recover from injuries, or restore mobility. These exercises target specific muscle groups or joints to aid recovery and correct postural issues.
- Option (a): Traditional exercises are general fitness routines.
- Option (c): Recreational activities focus on enjoyment rather than medical purposes.
- Option (d): Adventurous activities involve physical challenges and are not for injury correction.
Thus, option (b) is the correct answer.
In the adjoining figure, TP and TQ are tangents drawn to a circle with centre O. If $\angle OPQ = 15^\circ$ and $\angle PTQ = \theta$, then find the value of $\sin 2\theta$. 
On the day of her examination, Riya sharpened her pencil from both ends as shown below. 
The diameter of the cylindrical and conical part of the pencil is 4.2 mm. If the height of each conical part is 2.8 mm and the length of the entire pencil is 105.6 mm, find the total surface area of the pencil.