Q33Comprehension2 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?AIf k = 1, then the function attains a value at the critical point which is locally maximum.BIf k = 2, then the Hessian test is inconclusive.CThere is at least one value of k for which the critical point is a saddle point.DIf k = 3, then the function attains a value at the critical point which is locally minimum.