Published by:
CGP EDU Academic Team
Published on: August 13, 2026
Let 
and C be the vertices of a variable right angled triangle inscribed in the parabola 
. Let the vertex 
containing the right angle be 
and the locus of the centroid of 
be a conic 
. Then three times the length of latus rectum of 
is 
.
Text Solution
Verified by ExpertsThe correct answer is:
16
(16)
Variable point A & C are shown in the figure
Suppose locus of centroid of 
is ( 
)
by eliminating 
using equation (1) also
we get 
∴ locus of centroid of parabola is
L.R. 
L.R. 
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