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  • If the points (0, 4) and (0, 2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

If the points (0, 4) and (0, 2) are respectively the vertex and focus of a parabola, then find the equation of the parabola.

Answers (1)

Given that the vertex of the parabola is A(0,4) and its focus is S(0,2)

  So, directrix of the parabola is y=6  

 Now by definition of the parabola for any point P (x,y) on the parabola SP=PM

\sqrt{\left ( x-0 \right )^{2}+\left ( y-2 \right )^{2}}=\left | \frac{0+y-6}{\sqrt(0+1)} \right |

x2+y2-4y+4=y2-12y+36

x2+8y=32

Posted by

infoexpert22

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