Coordinate Geometry: JEE Main 2026 Mathematics question

Among the statements (S1): If $A(5,-1)$ and $B(-2,3)$ are two vertices of a triangle, whose orthocentre is $(0,0)$, then its third vertex is $(-4,-7)$ and (S2): If positive numbers $2a$, $b$, $c$ are three consecutive terms of an A.P., then the lines $ax+by+c=0$ are concurrent at $(2,-2)$,