Question

Five circles $C_1, C_2, C_3, C_4, C_5$ with radi $r_1 r_2, r_3, r_4, r_5.$ respectively $(r_1 < r_2 < r_3 < r_4 < r_5)$ be such that $C_1$ and $C_{i+1}$ touch each other externally for all $i = 1, 2, 3, 4.$ If all the five circles touch each of the two straight lines $L_1$ and $L_2$ and $r_1= 2$ and $r_5 = 32$, then $r_3$ is equal to

• A. 8
• B. 17
• C. $\frac{64}{17}$
• D. Depends upon$r_2 and r_4$.

Answer 1

Answer: (A)

8

Answer 2

Answer (a) 8