Answer:
Option D
Explanation:
Given ,[abc]1×3 [197827737]=[000]
⇒ [a+8b+7c9a+2b+3c7a+7b+7c]=[000]
⇒ a+8b+7c=0....(i)
⇒ 9a+2b+3c=0 .....(ii)
⇒ a+b+c=0 .....(iii)
On multiplying Eq.(iii) bt=y 2 , then substract from Eq.(ii) we get
7a+c=0...(iv)
Again multiplying Eq,(iii) by 3 , then substract from Eq.(ii) , we get
6a-b=0....(v)
∴ b=6a and c=-7a
As (a,b,c) lies on 2x+y+z=1
⇒ 2a+b+c=1
⇒ 2a+6a-7a=1
⇒ a=1,b=6 and c=-7
∴ 7a+b+c=7+6-7=6