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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

Text Solution

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The correct Answer is:
D
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RESONANCE ENGLISH-MATRICES & DETERMINANT-EXERCISE-3
  1. Let K be a positive real number and A=[(2k-1,2sqrt(k),2sqrt(k)),(2sqrt...

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  2. Let M and N be two 3xx3 nonsingular skew-symmetric matrices such that ...

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

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  6. Let omega!=1 be cube root of unity and S be the set of all non-singula...

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  7. Let M be a 3xx3 matrix satisfying M[0 1 0]=M[1-1 0]=[1 1-1],a n dM[1 1...

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  8. Let P=[a(i j)] be a 3xx3 matrix and let Q=[b(i j)],w h e r eb(i j)=2^(...

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  9. If P is a 3xx3 matrix such that P^(T) = 2 P + I , where P^(T) is the...

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  10. If the adjoint of a 3xx3 matrix P is [[1,4,4],[2,1,7],[1,1,3]], then t...

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  11. For 3xx3 matrices M \ a n d \ N , which of the following statement (s)...

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  12. Let M be a 2xx2 symmetric matrix with integer entries. Then , M is i...

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  13. Let M and N be two 3xx3 matrices such that MN=NM. Further, if M ne N^(...

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  14. Let X \ a n d \ Y be two arbitrary, 3xx3 , non-zero, skew-symmetric ma...

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  15. Which of the following values of alpha satisfying the equation |(1+alp...

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  16. Let p=[(3,-1,-2),(2,0,alpha),(3,-5,0)], where alpha in RR. Suppose Q=[...

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  17. The total number of distinct x in R for which |{:(x,,x^(2),,...

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  18. Let P=[(1,0,0),(3,1,0),(9,3,1)] and Q = [q(ij)] be two 3xx3 matrices s...

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  19. Let alpha, lambda , mu in R.Consider the system of linear equations ...

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  20. Which of the following is (are) NOT the square of a 3xx3 matrix with r...

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