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Let a,b, and c be three real numbers sat...

Let a,b, and c be three real numbers satistying `[a,b,c][(1,9,7),(8,2,7),(7,3,7)]=[0,0,0]` If the point `P(a,b,c)` with reference to (E), lies on the plane `2x+y+z=1`, the the value of `7a+b+c` is

A

0

B

12

C

7

D

6

Text Solution

Verified by Experts

The correct Answer is:
D
As (a, b, c) lies on `2x + y +z = 1 rArr 2a + b + c =1`
`rArr 2a + 6a -7a =1`
`rArr a= 1, b =6, c=-7`
`therefore 7a + b+ c = 7 + 6 - 7 =6`
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