#### Question

An equilateral triangle is inscribed in the parabola *y*^{2} = 4 *ax*, where one vertex is at the vertex of the parabola. Find the length of the side of the triangle.

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#### Solution

Let OAB be the equilateral triangle inscribed in parabola *y*^{2} = 4*ax*.

Let AB intersect the *x*-axis at point C.

Let OC = *k*

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#### Reference Material

Solution for question: An Equilateral Triangle is Inscribed in the Parabola Y2 = 4 Ax, Where One Vertex is at the Vertex of the Parabola. Find the Length of the Side of the Triangle. concept: null - Standard Equations of Parabola. For the courses CBSE (Arts), CBSE (Science), CBSE (Commerce)