MathDB

Let

A

and

B

be fixed distinct points on the

X

axis, none of which coincides with the origin

O(0, 0),

and let

C

be a point on the

Y

axis of an orthogonal Cartesian coordinate system. Let

g

be a line through the origin

O(0, 0)

and perpendicular to the line

AC.

Find the locus of the point of intersection of the lines

g

and

BC

C

varies along the

Y

axis. Give an equation and a description of the locus.

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