Find the equation of the parabola whose focus is at (-1,-2) and thedirectrix the line `x-2y+3=0`

Find the equation of the parabola whose focus is at (-1,-2) and thedir

1.	Find the equation of the parabola whose focus is at (-1,-2) and thedirectrix the line `x-2y+3=0`
Answer» Given that, focus at F(-1,-2) and dirctrix is x-2y+3=0 Let any point on the parabola be (x,y) `PF=abs((x-2y+3)/(sqrt(1+4)))` `rArr (x+1)^(2)+(y+2)^(2)=((x-2y+3)^(2))/5` `rArr5[x^(2)+2x+1+y^(2)+4y+4]=x^(2)+4y^(2)+9-4xy-12y+6x` `rArr4x^(2)+y^(2)+4x+32y+16=0`

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