CUET · MATHS · PYQ PAPER 2023
If \(\left|\begin{array}{ccc}x-4 & 2 x & 2 x \\ 2 x & x-4 & 2 x \\ 2 x & 2 x & x-4\end{array}\right|=(A+B x)(x-A)^2\), then the ordered pair (A, B) is (where A and B are real numbers):
- A (-4, 5)
- B (4, 5)
- C (-4, -5)
- D (-4, 3)
Answer & Solution
Correct Answer
(A) (-4, 5)
Step-by-step Solution
Detailed explanation
\( \left|\begin{array}{ccc}x-4 & 2 x & 2 x \\ 2 x & x-4 & 2 x \\ 2 x & 2 x & x-4\end{array}\right| = (A+B x)(x-A)^2 \) \( C_1 \to C_1+C_2+C_3 \)…
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