UPSC CDS I 2024 Math Paper

Question Numbers: 88-90Consider the following for the next three (03) items that follow:ABC is a right - angled triangle with $\angle ABC = 90^{\circ}$. The centre of the incircle of the given triangle is at $O$, whose radius is 2 cm. Two more circles with centres at $O_{1}$ and $O_{2}$, touch this circle and the two sides as shown in the figure given below.$Further, MA : MC = 2 : 3.$