The equation is y2 = -8x
Here we know that the coefficient of x is negative.
So, the parabola open towards the left.
On comparing this equation with y2 = -4ax, we get,
-4a = -8
a = \( \dfrac{-8}{-4}\) = 2
Thus, co-ordinates of the focus = (-a,0) = (-2, 0)
Since, the given equation involves y2, the axis of the parabola is the x-axis.
Equation of directrix, x =a, then,
x = 2
Length of latus rectum = 4a
= 4 (2) = 8
Answered by Abhisek | 1 year agoAn equilateral triangle is inscribed in the parabola y2 = 4ax, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.
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