and if S1>0 then point P(x1,y1) lies inside the hyperbola.
Now for point (0,0), S(0,0)=−22 ......(<0)
Now for point (0,1), S(0,1)=−10 ......(<0)
Now for point (1,2), S(1,2)=27 ......(>0)
Now for point (1,0), S(1,0)=−17 ......(<0)
So we can see from all these points only (1,2) point gives a positive value of S1,
∵ S(1,2)>0, Hence point (1,2) lies inside of the given hyperbola.
Because rest points give a negative value of S1, that's why they lie outside of the given hyperbola.
So correct option is C.