The harmonic conjugate of (–9, 27) with respect to the points (1, 7) and (6, –3) is

$\mathrm{\_\_\_\_\_\_P}=(-9,27),\mathrm{A}=(1,7),\mathrm{B}=(6,-3)$

$\mathrm{P}\text{ divide }\overline{AB}\text{ in the ratio }{\mathrm{x}}_1-\mathrm{x}:\mathrm{x}-{\mathrm{x}}_2$

.$\mathrm{P}\text{ divide }\overline{AB}\text{ in the ratio }{\mathrm{x}}_1-\mathrm{x}:\mathrm{x}-{\mathrm{x}}_2$

$\text{ Q divides }\overline{AB}\text{ in the ratio }2:3\text{ internally }$