The end points of the latus rectum of the par | vedclass

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(D) For the parabola $x^2 = 4ay$,the focus is at $(0, a)$.The latus rectum is a line segment passing through the focus and perpendicular to the axis o

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$(-2a, a), (2a, a)$

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(D) For the parabola $x^2 = 4ay$,the focus is at $(0, a)$.The latus rectum is a line segment passing through the focus and perpendicular to the axis of the parabola.The equation of the line representing the latus rectum is $y = a$.Substituting $y = a$ into the parabola equation $x^2 = 4ay$,we get $x^2 = 4a(a) = 4a^2$.Thus,$x = \pm 2a$.The end points of the latus rectum are $(-2a, a)$ and $(2a, a)$.

The end points of the latus rectum of the parabola $x^2 = 4ay$ are

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