The harmonic conjugate of (4, 1) with respect to the points (3, 2) and (−1, 6) is

A(3,2),B(−1,6),P(4,1)   P divides AB↔ in the ratio 3–4 : 4–(−1)=−1  :  5 Harmonic conjugate of P divides AB↔ in the ratio 1: 5∴Q=B+5A6=(−1,6)+(15,10)6 =(146,166)=(73,83)