🛠️ JEE➗ Maths

If \(\left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2\end{array}\…

Q1

If \(\left|\begin{array}{ccc}x+1 & x & x \\ x & x+\lambda & x \\ x & x & x+\lambda^2\end{array}\right|=\frac{9}{8}(103 x+81)\), then \(\lambda, \frac{\lambda}{3}\) are the roots of the equation

[JEE Main 2023, 11 Apr (Shift 2)]

a

\(4 x^2+24 x-27=0\)

b

\(4 x^2-24 x+27=0\)

c

\(4 x^2+24 x+27=0\)

d

\(4 x^2-24 x-27=0\)

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