If | , * 20 c a&b& a + b &c& b + c a + b & b + c &0 , | = 0; then… - Vidyadip

MCQ

If $\left| {\,\begin{array}{*{20}{c}}a&b&{a + b}\\b&c&{b + c}\\{a + b}&{b + c}&0\end{array}\,} \right| = 0$; then $a,b,c$ are in

A
$A. P.$
✓
$G. P.$
C
$H. P.$
D
None of these

✓

Answer

Correct option: B.

$G. P.$

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

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

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