Published by:
CGP EDU Academic Team
Published on: August 14, 2026
Triangle formed by the lines x + y = 0, x – y = 0 and λ x + my = 1. If λ and m vary subject to the condition λ 2 + m 2 = 1, then the locus of its circumcentre is-
Text Solution
Verified by ExpertsThe correct answer is:
A
Δ is right angled with right angle at (0, 0) so for other vertices with y = x 
with y = – x 
Now circumcentre (h, k)
2h = 
+ 
& 2k = 
– 
so (h 2 – k 2 ) 2 = k 2 + h 2 locus (x
2 – y 2 ) 2 = x 2 + y 2
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