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If x =a, y=b, z=c is a solution of the s...

If `x =a, y=b, z=c` is a solution of the system of linear equations
`x + 8y + 7z =0, 9 x + 2y + 3z =0, x + y+z=0` such that point `(a,b,c )` lies on the plane `x + 2y + z=6,` then `2a+ b+c` equals

A

`-1`

B

0

C

1

D

2

Text Solution

Verified by Experts

The correct Answer is:
C
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MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
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  2. For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...

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  3. If x =a, y=b, z=c is a solution of the system of linear equations x...

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  4. If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...

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  5. Let A be a matrix such that A* [(1 ,2) ,(0 ,3)] is a scalar matrix and...

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  6. If the system of linear equations x+ay+z=3 and x+2y+2z=6 and x+5y+3z=b...

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  7. The number of values of k for which the system of linear equations, (k...

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  8. The system of linear equations x+y+z =2, 2x+3y+2z =...

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  9. If A=[(costheta, -sin theta ),(sin theta, cos theta) ] , then the ma...

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  10. A = [{:(e^(t), e^(-t)"cos"t, e^(-t)"sin"t),(e^(t),-e^(-t)"cos"t-e^(...

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  11. If the system of linear equations x-4y+7z=g, 3y-5z=h, -2x+5y-9z=k is c...

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  12. If the system fo equations x+y+z = 5 x + 2y + 3z = 9 x + 3y + a...

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  13. The number of possible value of theta lies in (0,pi), such that system...

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  14. Let A=|{:(,0,21,r),(,p,q,-r),(,p,-q,r):}|=A A^(T)=I(3) then |p| is

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  15. If the system of linear equations 2x + 2y +3z =a 3x - y +5z =b x...

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  16. Let A and B be two invertible matrices of order 3 xx 3. If "det"(ABA^(...

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  17. An ordered pair (alpha, beta) for which the system of linear equations...

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  18. Let P=[(1, 0, 0),(3, 1, 0),(9, 3, 1)]Q=[q(ij)] and Q=P^5+I3 then (q21+...

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  19. The set of all values of lambda for which the system of linear equatio...

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  20. The greatest value of c in R for which the system of linear equations ...

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