Mathematics
Rohan and Sohan stay in a village which are 50 km apart and are situated on Delhi Agra Highway as shown in the figure. Another highway YY' crosses Agra Delhi Highway at O (0, 0). A small local road PQ crosses both the highways at points A and B such that OA = 10 km and OB = 12 km. Also the villages of Sita and Gita are on the smaller highway YY'. Sita's village is 12 km from O and Gita's village is 15 km from O.
Now answer the following questions:
(i) Find the Coordinates of A and B
(ii) Find the lengths of local road AB.
(iii) What is the shortest distance Sohan will cover to reach Sita's village.
(iv) How far is Rohan's village from Gita's village ?
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