Mathematics

Problem

For the parabola

x^{2}=4ay\,(a>0)

, let

P(6a,9a)

lie on the curve and let

Q

be its image after reflection about the axis of the parabola. If

S

is the focus of the parabola, what is the area of triangle

\triangle PSQ

(in units of

a^{2}

)? a)

40a^{2}

60a^{2}

48a^{2}

54a^{2}