Tangents are drawn from the point $$P(3, 4)$$ to the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 4} = 1$$ touching the ellipse at points $$A$$ and $$B$$.
The equation of the locus of the point whose distances from the point $$P$$ and the line $$AB$$ are equal, is
The orthocentre of the triangle $$PAB$$ is