Consider the following statements :
(a) If any two rows or columns of a determinant are identical, then the value of the determinant
is zero.
(b) If the corresponding rows and columns of a determinant are interchanged, then the value of
the determinant does not change.
(c) If any two rows (or columns) of a determinant are interchanged, then the value of the
determinant changes in sign.
Which of these are correct ?

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.