Question

If the vertex of a parabola be at origin and
directix be x+5=0 then its lautus rectum
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Answer 1

Answer:

Because, the vertex is at parabola and the directrix of the given parabola is x+5=0

it implies that the equation of the parabola will be surely y^2 = 4ax

Now, because the directrix equation is given as x+a=0

so, by comparing the given equation.

a=5

So, length of latus rectum = 4a = 20 units

Hope this helps you !

Answer 2

Answer:

Because, the vertex is at parabola and the directrix of the given parabola is x+5=0

it implies that the equation of the parabola will be surely y^2 = 4ax

Now, because the directrix equation is given as x+a=0

so, by comparing the given equation.

a=5

So, length of latus rectum = 4a = 20 units

Hope this helps you !