Choose the correct option related to the regional political parties of India:
Which one of the following pairs is correctly matched?
| List-I (Regional Parties) | List-II (Regions) | ||
|---|---|---|---|
| (A) | Rashtriya Janta Dal | (i) | Uttar Pradesh |
| (B) | Janta Dal (Secular) | (ii) | Bihar |
| (C) | Rashtriya Lok Dal | (iii) | Assam |
| (D) | Biju Janta Dal | (iv) | Odisha |
Choose the correct answer from the options given below:
In the adjoining figure, $\triangle CAB$ is a right triangle, right angled at A and $AD \perp BC$. Prove that $\triangle ADB \sim \triangle CDA$. Further, if $BC = 10$ cm and $CD = 2$ cm, find the length of AD. 
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 $\sin 2\theta$. 