The equations of a hyperbola and a circle are given below 
        $H:{(x+2)}^2-{(y-3)}^2=-2$
        $C:{(x-2)}^2+{(y-3)}^2=10$     
Let circle ‘C’ intersects the line y = 3, at points P and Q, such that P is closer to (-2, 3). A line L passing through P meets the hyperbola H and the circle C at a total of 3 points. Then, number of such straight lines L, is equal to