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Question

Mathematics Question on Matrices

If x+1xx xx+λx xxx+λ2\begin{vmatrix} x+1 & x & x \\\ x & x+ \lambda & x \\\ x & x & x+ \lambda^2 \end{vmatrix}= 98\frac{9}{8} (103x+81)(103x + 81), then λλ and λ3\frac{λ}{3} are roots of the equation

A

4x2 – 24x + 27 = 0

B

4x2 – 24x – 27 = 0

C

4x2 – 24x + 27 = 0

D

4x2 + 24x – 27 = 0

Answer

4x2 – 24x + 27 = 0

Explanation

Solution

The Correct Option is (A):4x2 – 24x + 27 = 0