IPMAT 2024 - Quantitative Aptitude Question 29

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IPMAT 2024 - Quantitative Aptitude


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 =  9cm
2r = AC + BC = 9 + 4 = 13 cm
2r = 13 cm
r = 6.5 cm
So, the radius of the circle can be 2.5 cm or 6.5 cm.

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