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Let for i=1,2,3,pix be a polynomial of degree 2 in x,pix,pix be the first and second order derivatives of pix respectively . Let , A(x)=[p1(x)p1(x)p1(x)p2(x)p2(x)p2(x)p3(x)p(x)p3(x)] and B(x)=[A(x)]TA(x).Then determinant of B(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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