If f(x), g (x) and h (x) are three polynomials of degree 2, then φ (x) = | array ccc f(x)…
Mathematics · JEE Advanced · NTA Exams — Matrices and Determinants
If f(x), g (x) and h (x) are three polynomials of degree 2, then
φ (x) = \[\left|\begin{array}{ccc} f(x) & g(x) & h(x) \\ f^{\prime}(x) & g^{\prime}(x) & h^{\prime}(x) \\ f^{\prime \prime}(x) & g^{\prime \prime}(x) & h^{\prime \prime}(x) \end{array}\right|\] is a polynomial of degree
φ (x) = \[\left|\begin{array}{ccc} f(x) & g(x) & h(x) \\ f^{\prime}(x) & g^{\prime}(x) & h^{\prime}(x) \\ f^{\prime \prime}(x) & g^{\prime \prime}(x) & h^{\prime \prime}(x) \end{array}\right|\] is a polynomial of degree
- 2
- 3
- 4
- none of these
Answer
(D) none of these
Sign up free on Edukali to view the step-by-step worked solution and practice thousands of similar questions.
Related practice questions
- If f(x)= | array ccc 2 x & 2 x & 2 x - x & x & - x x & x & x array | , then
- If P= [ array cc 3 2 & 1 2 - 1 2 & 3 2 array ], A= [ array ll 1 & 1 0 & 1 array ] and Q = PAP T , then P T (…
- If = | array ccc e ^ x & x & 1 x & _ e (1+ x ^ 2 ) & 1 x & x ^ 2 & 1 array |= a + bx + cx ^ 2 then
- If P is a 3 × 3 matrix such that P T = 2 P + I , where P T is the transpose of P and I is the 3 × 3 identity…
- The digits A, B, C are such that the three digit numbers A 88, 6B8, 86C are divisible by 72, then the…
- a, b, c are non-zero real numbers. Then | array lll c & a & ~b a & ~b & ~b ~b & ~b & a array | = 0, if
- Let A be the set of all 3 × 3 symmetric matrices all of whose entries are either 0 or 1 . Five of these…
- If A = [ array cc 4 & x+2 2 x-3 & x+1 array ] is symmetric, then x =
More Matrices and Determinants questions · Browse all practice questions