The circle x2+y2+αx+βy+γ=0 is the image of the circle x2+y2−6x−10y+30=0 across
the line 3x + y = 2. The value of [α+β+γ] is (where [.] represents the floor function.)
A line passing through P(4, 2) meets the x and y-axis at P and Q respectively. If O is the origin, then the locus of the centre of the circumcircle of ΔOPQ is -