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The product of all values of `t ,` for which the system of equations `(a-t)x+b y+c z=0,b x+(c-t)y+a z=0,c x+a y+(b-t)z=0` has non-trivial solution, is `|a-c-b-c b-a-b-a c|` (b) `|a b c b c a c a b|` `|a c bb a cc b a|` (d) `|a a+bb+c bb+cc+a cc+a a+b|`

A

`|{:(a,-c,-b),(-c,b,-a),(-b,-a,c):}|`

B

`|{:(a,b,c),(b,c,a),(c,a,b):}|`

C

`|{:(a,c,b),(b,a,c),(c,b,a):}|`

D

none of these

Text Solution

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The correct Answer is:
B
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