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Let fori 1, 2, 3, pi(x) be a polynomial...

Let fori `1, 2, 3, p_i(x)` be a polynomial ofdegree 2 in `x_1 p_i (x)` and `p_i(x)` be the first and second order derivatives of `p_i (x)` respectively.Let, `A(x)=[(p_1(x),p'_1(x),p''_1(x)),(p_2(x),p'_2(x),p''_2(x)),(p_3(x),p'_3(x),p''_3(x))]`and `B(x) = [A(x)]^(T) A(x)`, then Determinant of `B(x):` (A) Is a Polynomial of degree 6 (B) Is a Polynomial of degree 4 (C) Is a Polynomial of degree 2 (D) Does not depend on x

A

is a polynomial of degree 6 in x

B

is a polynomial of degree 3 in x

C

is a polynomial of degree 2 in x

D

does not depend on x

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The correct Answer is:
D
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