Find the equation of parabolas whose :
(i) Focus is (0,0) and directrix is x+5=0
(ii) Focus is (1,2) and directrix is 2x-y-1=0.
(iii) Focus is (-2,3) and directrix is 2x-y+3=0.
(iv) Focus is (5,3) and directrix is 3x-4y+1=0.
(v) Focus is (0,4) and directrix is y+4=0.
(i) Focus is (-2,0) and directrix is x-2=0.

Answer

(i) `y^(2)=10x+25` , (ii) `x^(2)+y^(2)-2xy-2x-6y+9=0`
(iii) `x^(2)+4y^(2)+4xy+8x-24y+56=0` , (iv) `16x^(2)+9y^(2)+24xy-256x-142y+849=0`
(v) `x^(2)=16y`
(vi) `y^(2)=-8x`