Find the radius of smaller circle. 
2D Geometry
Similar Triangles
Linear Equations
Answer: $\frac{3}{4}$
ISI Entrance B.Stat Objective Problem, India
Test of Mathematics at 10+2 Level by East West Press
Given triangle to smaller circle and given triangle to bigger circle are similar.
By similarity,
$\frac{2-x}{5}=\frac{x}{3}$
Solving we get x=$\frac{3}{4}$
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