CUET · MATHS · PYQ PAPER 2025
If \(\left|\begin{array}{ll}x & 8 \\ 4 & x\end{array}\right|=\left|\begin{array}{cc}6 & 2 \\ 18 & 6\end{array}\right|\), then \(x\) is/are equal to:
- A \(\pm 4 \sqrt{ 2 }\)
- B \(2 \sqrt{2}\)
- C \(4 \sqrt{3}\)
- D \(\pm 4 \sqrt{3}\)
Answer & Solution
Correct Answer
(A) \(\pm 4 \sqrt{ 2 }\)
Step-by-step Solution
Detailed explanation
\( x \cdot x - 8 \cdot 4 = 6 \cdot 6 - 2 \cdot 18 \) \( x^2 - 32 = 36 - 36 \) \( x^2 - 32 = 0 \) \( x^2 = 32 \) \( x = \pm \sqrt{32} = \pm 4 \sqrt{2} \)
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