The harmonic conjugate of (2, 3, 4) with respect to the points (3, -2, 2) and (6, -17, -4) is

Question

The harmonic conjugate of (2, 3, 4) with respect to the points (3, -2, 2) and (6, -17, -4) is (A) ( (18/5) , - 5 , (4/5)) (B) (11, -16 , 2 ) (C) ( (1/2) , (1/3), (1/4)) (D) (0,0,0)

Tardigrade Admin · Accepted Answer

A = (3, -2, 2); B = (6,-17, -4), P = (2,3,4) AP: PB = -1: 4. Harmonic conjugate of P divides AB in the ratio 1: 4

Q. The harmonic conjugate of (2, 3, 4) with respect to the points (3, -2, 2) and (6, -17, -4) is

$(\frac{18}{5}, - 5, \frac{4}{5})$

$(11, - 16, 2)$

$(\frac{1}{2}, \frac{1}{3}, \frac{1}{4})$

$(0, 0, 0)$

A = (3, -2, 2); B = (6,-17, -4), P = (2,3,4)
AP: PB = -1 : 4. Harmonic conjugate of P divides
AB in the ratio 1 : 4

Q. The harmonic conjugate of (2, 3, 4) with respect to the points (3, -2, 2) and (6, -17, -4) is

(518​,−5,54​)

(11,−16,2)

(21​,31​,41​)

(0,0,0)

A = (3, -2, 2); B = (6,-17, -4), P = (2,3,4) AP: PB = -1 : 4. Harmonic conjugate of P divides AB in the ratio 1 : 4

$(\frac{18}{5}, - 5, \frac{4}{5})$

$(11, - 16, 2)$

$(\frac{1}{2}, \frac{1}{3}, \frac{1}{4})$

$(0, 0, 0)$

A = (3, -2, 2); B = (6,-17, -4), P = (2,3,4)
AP: PB = -1 : 4. Harmonic conjugate of P divides
AB in the ratio 1 : 4