List of top General Aptitude Questions on Geometry asked in GATE GG

Circles \(C_1\), \(C_2\), and \(C_3\), with centers \(O_1\), \(O_2\), and \(O_3\), and radii \(r_1\), \(r_2\), and \(r_3\), respectively, touch each other as shown in the following figure. Given \(r_1 = 2\) cm, \(r_2 = 1\) cm and the angle \(\angle O_1 O_3 O_2\) is 90 degrees, \(r_3 =\) _____ cm.

Which one of the given figures P, Q, R, and S represents the graph of the following function? \[ f(x) = |\,|x+2| - |x-1|\,| \] \begin{center} \includegraphics[width=0.5\textwidth]{02.jpeg} \end{center}