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## Objective Problem Geometry (ISI Entrance)

Find the radius of smaller circle.

- 0
- 1
- $\frac{3}{4}$
- 2

**Key Concepts**

2D Geometry

Similar Triangles

Linear Equations

## Check the Answer

But try the problem first…

Answer: $\frac{3}{4}$

Source

Suggested Reading

ISI Entrance B.Stat Objective Problem, India

Test of Mathematics at 10+2 Level by East West Press

## Try with Hints

First hint

Given triangle to smaller circle and given triangle to bigger circle are similar.

Second Hint

By similarity,

$\frac{2-x}{5}=\frac{x}{3}$

Final Step

Solving we get x=$\frac{3}{4}$

## Watch the Video

## Other useful links

- https://www.youtube.com/watch?v=IgXv5Skqpsg&t=10s
- https://www.cheenta.com/series-and-trigonometry-isi-entrance-2009/