Conic Sections

The ratio of the areas of the triangles $PQS$ and $PQR$ is

The radius of the circumcircle of the triangle $PRS$ is

The radius of the incircle of the triangle $PQR$ is

STATEMENT-1: The curve $y=\dfrac{-x^2}{2}+x+1$ is symmetric with respect to the line $x=1$.

because

STATEMENT-2: A parabola is symmetric about its axis.

Match the statements in Column I with the properties in Column II and indicate your answer by darkening the appropriate bubbles in the 4 × 4 matrix given in the ORS.