CUET · MATHS · PYQ PAPER 2023
Let \(\Delta=\left|\begin{array}{ccc}a+b x & c+d x & p+q x \\ a x+b & c x+d & p x+q \\ u & v & w\end{array}\right|=\left(k-x^2\right)\left|\begin{array}{ccc}a & c & p \\ b & d & q \\ u & v & w\end{array}\right|\) then the value of k is:
- A 0
- B 1
- C 2
- D 4
Answer & Solution
Correct Answer
(B) 1
Step-by-step Solution
Detailed explanation
\(R_1 \rightarrow R_1 - xR_2\) \( \Delta = \left|\begin{array}{ccc}a(1-x^2) & c(1-x^2) & p(1-x^2) \\ a x+b & c x+d & p x+q \\ u & v & w\end{array}\right| \) \( \Delta = (1-x^2)\left|\begin{array}{ccc}a & c & p \\ a x+b & c x+d & p x+q \\ u & v & w\end{array}\right| \)…
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