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

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

$(11, - 16, 2)$

$(0, 0, 0)$

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

answer is D.

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Detailed Solution

Point P( 2,3,4) divides the line segment joining A( 3, -2, 2) B( 6,-12, -4) in 1: - 4 Harmonic conjugate of P divides $AB$ in the ratio 1:4 internally i.e $Q (\frac{18}{5}, - 5, \frac{4}{5})$

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