Consider the ellipse  $S_1\equiv \frac{x^2}{9}+\frac{y^2}{8}-1=0$. Let ${\text{S}}_{\text{2}}=0$ be a parabola on the right of y-axis confocal with S1 =0 having vertex at the centre of S1 = 0. Let P be the point of intersection of the parabola and directrix of the ellipse in the 1st  quadrant. If tangent at point Q in 1st  quadrant on S1 =0 and the line joining point P with the focus of S2 =0 intersect on the auxilliary circle of S1 =0 then the value of  $9{\sin }^2\theta$ is_____( $\theta$ is the eccentric angle of the point Q)