If the vertex of a parabola is at the origin | vedclass

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(C) The vertex of the parabola is at the origin $(0, 0)$.Given the directrix is $x + 5 = 0$,which implies $x = -5$.For a parabola with vertex at the o

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$20$

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(C) The vertex of the parabola is at the origin $(0, 0)$.Given the directrix is $x + 5 = 0$,which implies $x = -5$.For a parabola with vertex at the origin and directrix $x = -a$,the value of $a$ is $5$.The standard equation of this parabola is $y^2 = 4ax$.Substituting $a = 5$,we get $y^2 = 4(5)x = 20x$.The length of the latus rectum is given by $4a$.Therefore,the length of the latus rectum is $4 	imes 5 = 20$.

If the vertex of a parabola is at the origin and the directrix is $x + 5 = 0$,then its latus rectum is

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