What kind of a person is Valli? To answer this question, pick out the following sentences from the text and fill in the blanks. The words you fill in are the clues to your answer.
(i) “Stop the bus! Stop the bus!” And a tiny hand was raised __________.
(ii) “Yes, I _________ go to town,” said Valli, still standing outside the bus.
(iii) “There’s nobody here _________,” she said haughtily. I’ve paid my thirty paise like everyone else.”
(iv) “Never mind,” she said, “I can _________. You don’t have to help me. “I’m not a child, I tell you,” she said,_________.
(v) “You needn't bother about me. _________” Valli said, turning her face toward the window and staring out.
(vi) Then she turned to the conductor and said, “Well, sir, I hope _________”
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 $\sin 2\theta$. 