In a plane rectangular coordinate system, there are three points A(0,43),B(–1,0) and C(1,0). The distance from point P to line BC is the geometric mean of the distances from this point to lines AB and AC. Then the locus of point P is

In a plane rectangular coordinate system, there are three points A(0,4

1.	In a plane rectangular coordinate system, there are three points A(0,43),B(–1,0) and C(1,0). The distance from point P to line BC is the geometric mean of the distances from this point to lines AB and AC. Then the locus of point P is
Answer» In a plane rectangular coordinate system, there are three points $A (0, \frac{4}{3}), B (- 1, 0)$ and $C (1, 0) .$ The distance from point $P$ to line $B C$ is the geometric mean of the distances from this point to lines $A B$ and $A C .$ Then the locus of point $P$ is