Q.

Let A (1, –1, 3), B (2, 3, 5) is divided by P in the ratio 3:4 internally then harmonic conjugate of P w.r.t. to A, B is

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a

(2, 13, 3)

b

(2, –13 , 3)

c

(–2, 13, –3)

d

(–2, –13, –3)

answer is D.

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Detailed Solution

Req pt divides ascending in the ratio      – 3:4 (−6+41,−9−41,−15+121)=(−2,−13,−3)
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Let A (1, –1, 3), B (2, 3, 5) is divided by P in the ratio 3:4 internally then harmonic conjugate of P w.r.t. to A, B is