Q34Comprehension2 Marks11 Dec 2022PassageConsider the function f(x, y, z) = x^2 + y^2 + z^2 + xy + yz + kzx. Use this information to answer the given subquestions.Which of the following options is/are true?AEquations f_x = 0, f_y = 0, f_z = 0 do not form a system of linear equations.BFor any value of k the Hessian matrix is a symmetric matrix.CIf k = 2, then the nullity of the Hessian matrix is 1.DFor any value of k, the Hessian matrix has rank 2.