3 and 4 .Determinants and Matrices
easy

જો $\left| {\,\begin{array}{*{20}{c}}a&b&{a + b}\\b&c&{b + c}\\{a + b}&{b + c}&0\end{array}\,} \right| = 0$; તો $a,b,c$ એ .. . . શ્રેણીમાં છે .

A

સમાંતર

B

સમગુણોતર

C

સ્વરિત

D

એકપણ નહી.

Solution

(b) Let $a,b,c$ are in $G.P.$ and assume $ a=1,b=2,c=4 $

$\therefore \,\,\,\,\,A = \left| {\,\begin{array}{*{20}{c}}1&2&3\\2&4&6\\3&6&0\end{array}\,} \right|\,\, = \,\,0$ .

Standard 12
Mathematics

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