CAT Exam Model Paper 8 with solutions for free online practice

Question : 16 of 60

Marks: +1, -0

Two circles, touching each other, are drawn inside a square of side 10 cm. Each circle also touches exactly two sides of the square. What is the maximum possible value (in cm) of the sum of their radii?

$10(2-√2)$
$10(2+√2)$
$10√2$
10

Validate

Solution:

The figure would look like the one given below:

From the above figure.

\R √{2}+\R+r+r√{2}=10 √{2}

⇒

\R+r= {10 √{2}}/{√{2}+1}=10(2-√{2})

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