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Solution


Q.

The chain and gears of bicycles or motorcycles, as well as the belt around pulleys, are real-life examples of tangents to a circle. One such example is shown in Fig, where PI and PA represent tangents to the gears of a bicycle.

Based on the above information, answer the following questions:

 

(iii) (b) If PI = 2x + 8, then find x.
1 6 cm  
2 5 cm  
3 4 cm  
4 3 cm  

Ans.

(1)

Given, PI = 2x + 8

From part (i), PI = 20 cm

20=2x+82x=20-8=12x=6 cm