are two straight lines at right angles to one another; on is taken a fixed point A and on O X any variable point B. On A B an equilateral triangle is described, its vertex P being on the opposite side of A B to that of O. The locus of P is:
Straight line
Circle
Ellipse
Parabola
Let the point be and be
Let be the moving point as (x, y) and let and P N perpendicular to OX
Eliminating from (1) and (2), we get which represent a straight line.
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