November 25, 2024
Explanation:
(a) Case I : Point C lies anywhere outside the circle.
AC = 9 cm
BC = 4 cm
AC = 2𝑟 + BC = 9 cm
2𝑟 + 4 = 9 cm
r = 2.5 cm
Case II : Point C lies anywhere inside the circle.
BC = 4 cm
AC = 9 cm
2𝑟 = AC + BC = 9 + 4 = 13 cm
2𝑟 = 13 cm
3 = 6.5 cm
So, the radius of the circle can be 2.5 cm or 6.5 cm. Ans