Q.

The harmonic conjugate of  2,3,4with respect to the points3,−2,2,  6,−17,−4is

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a

11,−16,2

b

185,−5,45

c

185,5,45

d

-185,−5,45

answer is B.

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Detailed Solution

The point 2,3,4divides the line segment joining the points3,−2,2  , 6,−17,−4 in the ratio 3−2:2−6=1:−4The hormonic conjugate of point  2,3,4with respect to the line segment joining the points 3,−2,2, 6,−17,−4divides the line segment in the ratio  internally Required the point is  6+125,−17−85,−4+85=185,−5,45
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