MathDB

Circles with centers

P, Q

and

R

, having radii

1, 2

and

3

, respectively, lie on the same side of line

l

and are tangent to

l

P', Q'

and

R'

, respectively, with

Q'

between

P'

and

R'

. The circle with center

Q

is externally tangent to each of the other two circles. What is the area of triangle

PQR

<span class='latex-bold'>(A) </span> 0\qquad <span class='latex-bold'>(B) </span> \sqrt{\frac{2}{3}}\qquad<span class='latex-bold'>(C) </span> 1\qquad<span class='latex-bold'>(D) </span> \sqrt{6}-\sqrt{2}\qquad<span class='latex-bold'>(E) </span>\sqrt{\frac{3}{2}}

Problem Statement