Question

find the equation of a parabola whose focus is 2, 1 and directrix is X + Y + 1 is equals to zero​

Answer 1

Answer:

let P(x, y) be any point on the hyperbola.

From the point P, draw PM perpendicular on the directrix

x+y+1=0.

Then, by the definition of the parabola,

SP=PM

SP²=PM²

(x-2) ²+(y-1) ² =(x+y+1) ²