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March 6, 2020

Geometry of Tangents | ISI Entrance B.Stat 2009

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


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

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=$\frac{3}{4}$

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