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For the following parabola find the coor...

For the following parabola find the coordinates of the focus, the equation of the directrix and the length of the latus rectum. `y^2=12x`

Text Solution

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Given equation : `y^(2)=12x`
Comparing with `y^(2)=4ax`
4a=12
`rArr" "a=3`
`:.` Coordinates of focus `-=(a,0)-=(3,0)`
Axis of parabola : y=0
Equation of directrix : x+a=0
`rArr" "x+3=0`
Length of latus rectum `=4a=4xx3=12`
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