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Question

Mathematics Question on Matrices

If the three linear equations x+4ay+az=0x + 4ay + az = 0 x+3by+bz=0x + 3 by + bz = 0 and x+2cy+cz=0x + 2cy + cz = 0 have a non-trivial solution, then a, b, c are in

A

A.P

B

G.P.

C

H.P

D

none of these.

Answer

H.P

Explanation

Solution

- For non-trival solution 14aa 13bb 12cc\begin{vmatrix}1&4a&a\\\ 1&3b&b\\\ 1&2c&c\end{vmatrix} = 0