CUET · MATHS · PYQ PAPER 2023
If \(\left|\begin{array}{lll}x & x^2 & 1+p x^3 \\ y & y^2 & 1+p y^3 \\ z & z^2 & 1+p z^3\end{array}\right|=\lambda(x-y)(y-z)(z-x)\), then value of \(\lambda\) is :
- A pxyz
- B \(0\)
- C \(1+p x y z\)
- D \(1-p x y z\)
Answer & Solution
Correct Answer
(C) \(1+p x y z\)
Step-by-step Solution
Detailed explanation
\( \left|\begin{array}{lll}x & x^2 & 1 \\ y & y^2 & 1 \\ z & z^2 & 1\end{array}\right| + \left|\begin{array}{lll}x & x^2 & p x^3 \\ y & y^2 & p y^3 \\ z & z^2 & p z^3\end{array}\right| \)…
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