Problem Solving (PS) | Re: Which quadrant, if any, contains no point (x, y) that satisfies the in

y>= (x-3)^2 -1

I quadrant -> x +ve, y +ve
Ex: (20,5)
20 >= (5-3)^2-1
20>=3
satisfied. Hence we can conclude that it lies in first quadrant.

II Quadrant -> x -ve, y +ve
Ex: (20, -1)
50>=(-1-3)^2-1
50>= 15
Satisfied.

III Quadrant -> x -ve, y -ve
Ex: (-1,-1)
-1>=(-1-3)^2 -1
-1>=15
Not satisfied. As x is within a square term, it will always be positive, y will remain negative. Hence there will be no points in this quadrant.

IV Quadrant -> x +ve, y -ve
(3,-1)
-1>= (3-3)^2-1
-1>=-1
Satisfied.

Ans: C