Royal jelly is a highly nutritious secretion produced by worker bees. It is fed to the queen bee throughout her life, which allows her to develop reproductive capabilities and grow larger than other bees. Worker bees and drones are not fed royal jelly after the larval stage.
Match List-I with List-II.\[\begin{array}{|c|c|} \hline \text{List-I (Animal)} & \text{List-II (Breed)} \\ \hline \text{(A) Buffalo} & \text{(I) Sunandini} \\ \hline \text{(B) Cow} & \text{(II) White Leghorn} \\ \hline \text{(C) Poultry} & \text{(III) Toggenburg} \\ \hline \text{(D) Goat} & \text{(IV) Nili-Ravi} \\ \hline \end{array}\]Choose the correct answer from the options given below:
In the adjoining figure, \( AP = 1 \, \text{cm}, \ BP = 2 \, \text{cm}, \ AQ = 1.5 \, \text{cm}, \ AC = 4.5 \, \text{cm} \) Prove that \( \triangle APQ \sim \triangle ABC \).
Hence, find the length of \( PQ \), if \( BC = 3.6 \, \text{cm} \).