Published by:
CGP EDU Academic Team
Published on: August 14, 2026
STATEMENT-1 : In a triangle ABC, the harmonic mean of the three exradii is three times the inradius.
STATEMENT-2 : In any triangle ABC, r 1 + r 2 + r 3 = 4R.
Text Solution
Verified by ExpertsThe correct answer is:
C
Statement-1 :
H.M. of the three ex-radii = 
= 
= 
= 3r
= 3 times the inradius
∴ statement-1 is true
Statement-2 : L.H.S. = r 1 + r 2 + r 3
= 
+ 
+ 
= Δ 
= s Δ 
= 
= 
R.H.S. = 4R = 
∴ L.H.S. ≠ R.H.S.
∴ Statement 2 is false.
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