The set of points on the axis of the parabola `(x-1)^(2)=8(y+2)` from where three distinct normals can be drawn to the parabola is the set (h,k) of points satisfying

Options

A. `hgt2`
B. `hgt1`
C. `kgt2`
D. none of these

Answer

C

Explanation

(3) The axis of the parabola is x = 1. Any point on it is is (1,k).
Now, the distance of (1,k) from (1,-2) should be more than the semi-latus rectum, and (1,k) should be inside the parabola. Hence, `kgt2`.