Find the hormonic congugate of (7,5) with respect to (4,2) ,(9,7)
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The harmonic conjugate of (4,1) with respect to the points (3,2) and (-1,6) is
A .
(−4,−1)
B .
(1,4)
C .
(67,68)
D .
(37,38)
December 20, 2019Sakalabhaktula Behl
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Let (4,1) divide (3,2) and (−1,6) in k:1
⇒ 4=k+1−k+3⇒4k+4=−k+3⇒5k=−1⇒k=5−1
⇒ it divide them in 1:5 externally
its harmonic conjugate (P) would divide them in 1:5 internally
⇒Px=6−1+15=614=37,
Py=66+10=616=38⇒(D,
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