Answer:
Option (A) and Option (D)
Step-by-step explanation:
Point on the parabola is (x, y).
Focus given as (2, -4) and directrix of the parabola is y = -6
Therefore, distance of the point from the directrix will be,
d = |(y + 6)|
Similarly, distance of the point (x, y) from the focus will be,
d = ![\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
= ![\sqrt{(x-2)^2+(y+4)^2}](https://tex.z-dn.net/?f=%5Csqrt%7B%28x-2%29%5E2%2B%28y%2B4%29%5E2%7D)
Therefore, Option (A) and Option (D) will be the correct options.