Published by:
CGP EDU Academic Team
Published on: August 13, 2026
The normal at P to a hyperbola of eccentricity e , intersects its transverse and conjugate axis at L and M respectively, then the locus of the middle point of LM is a hyperbola whose eccentricity is
A
B
C
D
None
Text Solution
Verified by ExpertsThe correct answer is:
A
The equation of the normal at 
to the hyperbola is 
It meets the transverse and conjugate axes at L and M , then 
; 
Let the middle point of LM is 
; then 
⇒ ⇒
.....(i)
and 
⇒ ⇒ 
......(ii)
; 
, 
Locus of 
is 
It is a hyperbola, let its eccentricity
;
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