straight lines

Shortest method to solve each part ?
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13 Replies
iTeachChem Helper
@Gyro Gearloose
iTeachChem Helper
Note for OP
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hardcoreisdead
hardcoreisdeadOP6mo ago
my bad pinged it to phy one
Real potato
Real potato6mo ago
This is very Common question in every book
hardcoreisdead
hardcoreisdeadOP6mo ago
I do have the long ways but there must be some short methods right Or am I just missing smthing
iTeachChem
iTeachChem6mo ago
@Apu
SirLancelotDuLac
There are different methods, but the one which I prefer was for I, take a point such that the point lies on line and that point, reflection of A about the line and B are on same line/
hardcoreisdead
hardcoreisdeadOP6mo ago
I figured out S and P and R For s just used products of slopes = -1 For P took reflection, made line and point of intersection
SirLancelotDuLac
Well, if you want solution for Q: The minimum value of mod(aq-bq) is 0. Now, how can we achieve this 0? If we consider the perpendicular bisector of line AB and find its intersection with given line, we are done.
hardcoreisdead
hardcoreisdeadOP6mo ago
i found the mid pt of ab as 6,6 and then its slope which is -1. the slope of ab * slope of midpt to q =-1 therefore x=y and easily it comes out to be -2,-2. thanx a lot. pls review this method and then ill close the thread @SirLancelotDuLac
SirLancelotDuLac
Yep, this is absolutely correct.
hardcoreisdead
hardcoreisdeadOP6mo ago
aight, thanx +solved @SirLancelotDuLac
iTeachChem Helper
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