Tangents are drawn from the point P(3,4) to the ellipse 9x2+4y2=1 touching the ellipse at points A and B. Find the equation of the locus of the point whose distances from the point P and the line AB are equal.
a. 9x2+y2−6xy−54x−62y+241=0
b. x2+9y2+6xy−54x+62y−241=0
c. 9x2+9y2−6xy−54x−62y−241=0
d. x2+y2−2xy+27x+31y−120=0