Practicing Success

Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Determinants

Question:

$\Delta=\left|\begin{array}{ccc} 1 & \cos x & 1 \\ -\cos x & 1 & \cos x \\ -1 & -\cos x & 1 \end{array}\right|$

(A) $\Delta=2\left(1-\cos ^2 x\right)$
(B) $\Delta=2\left(2-\sin ^2 x\right)$
(C) Minimum value of $\Delta$ is 2
(D) Maximum value of $\Delta$ is 4

Choose the correct answer from the options given below:

Options:

(A), (C) and (D) only

(A), (B) and (C) only

(A), (B), (C) and (D)

(B), (C) and (D) only

Correct Answer:

(B), (C) and (D) only

Explanation:

The correct answer is Option (4) → (B), (C) and (D) only