Published by:
CGP EDU Academic Team
Published on: August 14, 2026
f(n), g(n), and h(n) are second degree polynomials in n having n + 2 as a common factor then value of 
is, where
Δ r = 
A
B
C
D
None of these
Text Solution
Verified by ExpertsThe correct answer is:
D
We have to find the sum of n determinants whose second and third columns are the same for all determinants. Hence, we use the sum of determinants.
= Δ 1 + Δ 2 + … + Δ n
= + 
+ 
…to n determinants
= 
+ …. to n determinants
= 
= 
=6. 
= 6 × 0 ( C 1 ≡ C 2 ) = 0
∴ 
is independent of n.
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