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

Let a, b, and c be three real numbers satifying `[(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`, then the value of `7a+b+c` is

A

0

B

12

C

7

D

6

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The correct Answer is:
D
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VMC MODULES ENGLISH-MATRICES AND DETERMINANTS -JEE ADVANCED ARCHIVE
  1. For a real number, alpha if the system [{:(,1,alpha,alpha^(2)),(,alp...

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  2. Let P be a matrix of order 3xx3 such that all the entries in P a...

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  3. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

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  4. Let a, b, and c be three real numbers satifying [(a, b, c)] [(1,9,7)...

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  5. Let omega be the solution of x^(3)-1=0 with "Im"(omega) gt 0. If a=2 w...

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  6. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  7. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  8. Let P be an odd prime number and T(p) be the following set of 2xx2 mat...

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  9. If M is a 3xx3 matrix, where det M=1a n dM M^T=1,w h e r eI is an iden...

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  10. Given a matrix A=[a b c b c a c a b],w h e r ea ,b ,c are real positiv...

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  11. Let a,b,c be real numbers with a^(2) +b^(2) +c^(2)=1. Then show tha...

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  12. The value of the determinant |(sintheta, costheta, sin2theta) , (sin(t...

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  13. Suppose f(x) is a function satisfying the following conditions: f(0)=...

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  14. Find the value of the determinant |(bc,ca, ab),( p, q, r),(1, 1, 1)|,w...

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  15. Let a >0,d >-0. Find the value of the determinant |1/a1/(a(a+d))1/((a+...

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  16. For all values of A ,B ,Ca n dP ,Q ,R show that |"cos"(A-P)"cos"(A-Q)"...

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  17. For a fixed positive integer n , if =|n !(n+1)!(n+2)!(n+1)!(n+2)!(n+3)...

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  18. If a!=p ,b!=q ,c!=r and |[p, b, c ],[a, q, c ],[a ,b, r]|=0, then find...

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  19. Suppose that digit numbers A28,3B9 and 62 C, where A,B and C are integ...

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  20. Let Deltar=|[r-1,n,6],[(r-1)^2,2n^2,4n-2],[(r-1)^3,3n^3,3n^2-3n]|. Sho...

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