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Matrices and Determinants question

2011 · Shift 1 · Q43
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  5. /2011 · Shift 1 · Q43

Matrices and Determinants question

2011 · Shift 1 · Q43

JEE AdvancedMathematicsMatrices and DeterminantsMCQ+3 / −1
Let a, b and c be three real numbers satisfying [abc][197827737]=[000][\begin{matrix} a & b & c \\ \end{matrix} ]\left[ {\begin{matrix} 1 & 9 & 7 \\ 8 & 2 & 7 \\ 7 & 3 & 7 \\ \end{matrix} } \right] = [\begin{matrix} 0 & 0 & 0 \\ \end{matrix} ][a​b​c​]​187​923​777​​=[0​0​0​] .......(E)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
  1. A
    0
  2. B
    12
  3. C
    7
  4. D
    6
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