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The equation of the parabola having focus at (–1, –2) and the directrix x – 2y + 3 = 0 is ____________ .

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Let any point on parabola be P(x,y)

Length of perpendicular from S on the directrix=SP

\frac{\left ( x-2y+3 \right )^{2}}{5}=\left ( x+1 \right )^{2}+\left ( y+2 \right )^{2}

4x2+y2+4x+32y+16=0

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