If = | , * 20 c a&b&c &y&z &q&r , |, then | , * 20 c ka & kb & kc… - Vidyadip

MCQ

If $\Delta = \left| {\,\begin{array}{*{20}{c}}a&b&c\\x&y&z\\p&q&r\end{array}\,} \right|$, then $\left| {\,\begin{array}{*{20}{c}}{ka}&{kb}&{kc}\\{kx}&{ky}&{kz}\\{kp}&{kq}&{kr}\end{array}\,} \right|$=

A
$\Delta $
B
$k\Delta $
C
$3k\Delta $
✓
${k^3}\Delta $

✓

Answer

Correct option: D.

${k^3}\Delta $

d
(d)$\left| {\,\begin{array}{*{20}{c}}{ka}&{kb}&{kc}\\{kx}&{ky}&{kz}\\{kp}&{kq}&{kr}\end{array}\,} \right|\, = \,{k^3}\,\left| {\,\begin{array}{*{20}{c}}a&b&c\\x&y&z\\p&q&r\end{array}\,} \right| = {k^3}\Delta $.

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