An Equilateral Triangle Is Inscribed In The Circle x2 + y2 = a2 with The Vertex At (a, 0). The Equation Of The Side Opposite To This Vertex Is

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An equilateral triangle is inscribed in the circle x2 + y2 = a2 with the vertex at (a, 0). The equation of the side opposite to this vertex is


Correct option is

2x + a = 0

A (a, 0) be the vertex of the equilateral triangles ABC inscribed in the circle x2 + y2 = a2

Let M be the middle point of the side BC, then MOA is perpendicular to BC and O being the centroid of the triangle

OA = 2 (OM) (Fig.)    

So if (hk) be the coordinates of M,  



and hence the equation of BC is x = –a/2

or 2x + a = 0. 




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