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Q.

Which of the following determinant is zero

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a

$|\begin{matrix} 0 & a_{2} & a_{3} \\ h & 0 & b \\ 1 & c_{2} & 0 \end{matrix}|$

b

$|\begin{matrix} a & a_{2} & 0 \\ h & 0 & b_{2} \\ 0 & c_{2} & c_{3} \end{matrix}|$

c

$|\begin{matrix} a_{1} & 0 & a_{3} \\ 0 & b_{2} & b_{3} \\ c_{1} & 0 & c_{2} \end{matrix}|$

d

$|\begin{matrix} a & a_{2} & a_{3} \\ 0 & 0 & 0 \\ 6 & c_{2} & c_{3} \end{matrix}|$

answer is D.

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Detailed Solution

In a determinant all the elements in any row (or) column are zero, then the determinant is zero.

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