STRAIGHT LINES

[sharp lichen]

find the locus of the circumcentre of the triangle formed by the lines x+y=0, x-y=0 and lx+my=1 where l^2 + m^2=1

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[sharp lichen]

x-y and x+y have 0,0 as common pt
x-y and lx+ my =1 have 1/(l+m), 1/(l+m)
let h,k be the circumcenter.
using distance formula i get
(h-1/(l+m))^2 + (k-1/(l+m))^2 = h^2 + k^2
but the ans for me comes as h+k = 1/(l+m)

[sharp lichen]

help

pls

[worn pike]

use the definition of the circumcenter.

[sharp lichen]

Damn

thabs

i did ti

(after seeing soln ;-;)

[surreal wing]

@sharp lichen

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[sharp lichen]

+close

[surreal wing]

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[surreal wing]

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