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If $|\begin{array}{lll} x 3 6 \\ 3 6 x \\ 6 x 3 \end{array}| = |\begin{array}{lll} 2 x 7 \\ x 7 2 \\ 7 2 x \end{array}| = |\begin{array}{ccc} 4 & 5 & x \\ 5 & x & 4 \\ x & 4 & 5 \end{array}| = 0$ , then x is equal to

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Correct option is B

In each determinant applying R1→R1+R2+R3 and then taking out (x + 9) common, we getx+9=0 or x=−9

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If x 3 63 6 x6 x 3=2 x 7x 7 27 2 x=45x5x4x45=0, then x is equal to

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If $|\begin{array}{lll} x 3 6 \\ 3 6 x \\ 6 x 3 \end{array}| = |\begin{array}{lll} 2 x 7 \\ x 7 2 \\ 7 2 x \end{array}| = |\begin{array}{ccc} 4 & 5 & x \\ 5 & x & 4 \\ x & 4 & 5 \end{array}| = 0$ , then x is equal to