If \[\Delta =\left| \,\begin{matrix} x & y & z \\ p & q & r \\ a & b & c \\ \end{matrix}\, \right|,\]then \[\left| \,\begin{matrix} x & 2y & z \\ 2p & 4q & 2r \\ a & 2b & c \\ \end{matrix}\, \right|\]equals [RPET 1999]

If \[\Delta =\left| \,\begin{matrix} x & y & z \\ p & q &

1.	If \[\Delta =\left\| \,\begin{matrix} x & y & z \\ p & q & r \\ a & b & c \\ \end{matrix}\, \right\|,\]then \[\left\| \,\begin{matrix} x & 2y & z \\ 2p & 4q & 2r \\ a & 2b & c \\ \end{matrix}\, \right\|\]equals [RPET 1999]
A.	\[{{\Delta }^{2}}\]
B.	\[4\Delta \]
C.	\[3\Delta \]
D.	None of these
Answer» C. \[3\Delta \]

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If \[\Delta =\left| \,\begin{matrix} x & y & z \\ p & q & r \\ a & b & c \\ \end{matrix}\, \right|,\]then \[\left| \,\begin{matrix} x & 2y & z \\ 2p & 4q & 2r \\ a & 2b & c \\ \end{matrix}\, \right|\]equals [RPET 1999]

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