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Find the equation of parabola having foc...

Find the equation of parabola having focus at (0,-3) its directrix is y = 3.

Text Solution

Verified by Experts

The correct Answer is:
`agt4`

We have `underset("distance between" P(x,y) and S (1,0))(sqrt((x-1)^(2)+y^(2)))+underset("distance between"P(x,y)and S' (-1sqrt(12)))sqrt((x+1)^(2)+(y-sqrt(12))^(2))=a`
`:. SP+S'P=a`
So, licus of P is ellipse if
`agtSS'`
or `agtsqrt(4+12)`
or `agt4`
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