If f r (x), g r (x), h r (x), r = 1, 2, 3 are polynomials in x such that f r (a ) = g r…
Mathematics · JEE Advanced · NTA Exams — Limit, Continuity and Differentiability
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) = \[\left|\begin{array}{lll} f_{1}(\mathrm{x}) & f_{2}(\mathrm{x}) & f_{3}(\mathrm{x}) \\ g_{1}(\mathrm{x}) & g_{2}(\mathrm{x}) & g_{3}(\mathrm{x}) \\ h_{1}(\mathrm{x}) & h_{2}(\mathrm{x}) & h_{3}(\mathrm{x}) \end{array}\right|\], then F ‘ (a ) is equal to
F(x) = \[\left|\begin{array}{lll} f_{1}(\mathrm{x}) & f_{2}(\mathrm{x}) & f_{3}(\mathrm{x}) \\ g_{1}(\mathrm{x}) & g_{2}(\mathrm{x}) & g_{3}(\mathrm{x}) \\ h_{1}(\mathrm{x}) & h_{2}(\mathrm{x}) & h_{3}(\mathrm{x}) \end{array}\right|\], then F ‘ (a ) is equal to
- a
- –a
- 0
- None of these.
Answer
(C) 0
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