DeterminantHard
Question
If fr (x), gr (x), hr (x), r = 1, 2, 3 are polynomials in x such that fr (a) = gr (a) = hr (a), r = 1, 2, 3 and F(x) -
, then F′ (a) is equal to -
Options
A.a
B.-a
C.0
D.None of these
Solution
fr(a) = gr(a) = hr(a) r = 1, 2, 3
so f(x) =
f’(x) =
+
+ 
so F′ (0) = 0 because two row are identical on putting x = a
so f(x) =
f’(x) =
so F′ (0) = 0 because two row are identical on putting x = a
Create a free account to view solution
View Solution FreeMore Determinant Questions
Let A, B, C be three 3 × 3 matrices with real entries. If BA + BC + AC = I and det(A + B) = 0 then value of det(A +...If f(x) = , then f (100) is equal to...The number of different possible orders of matrices having 12 identical elements is...If A and B are square matrices of equal degree, then which one is correct among the following ?...If = 0, then x may be equal to -...