CUET · MATHS · PYQ PAPER 2023
If \(\left|\begin{array}{cc}2 x & 5 \\ 8 & x\end{array}\right|=\left|\begin{array}{cc}6 & -2 \\ 7 & 3\end{array}\right|\) then the value of x is:
- A 3
- B \(\pm 3\)
- C 6
- D \(\pm 6\)
Answer & Solution
Correct Answer
(D) \(\pm 6\)
Step-by-step Solution
Detailed explanation
\( (2x)(x) - (5)(8) = (6)(3) - (-2)(7) \) \( 2x^2 - 40 = 18 + 14 \) \( 2x^2 - 40 = 32 \) \( 2x^2 = 72 \) \( x^2 = 36 \) \( x = \pm 6 \)
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