Two non-intersecting circles, one lying inside another are of diameters a and b. The minimum distance between b/w their circumferences is c. The distance between their centre is
A) a - b - c
B) a + b - c
C) \( \Large \frac{1}{2} (a - b - c) \)
D) \( \Large \frac{1}{2} (a - b) - c \)
Correct Answer:
D) \( \Large \frac{1}{2} (a - b) - c \)
Description for Correct answer: According to question, AC = \( \Large \frac{a}{2} \),
BD = \( \Large \frac{b}{2} \) and CD = c
Then, AB = AC - BC
= \( \Large \frac{a}{2} - (BD + CD) \)
= \( \Large \frac{a}{2} - \frac{b}{2} - c \)
= \( \Large \frac{1}{2} (a - b) - c \)
Part of solved Aptitude questions and answers : >> Aptitude